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480498840 = 233251334719
BaseRepresentation
bin11100101000111…
…101010010011000
31020111010212111100
4130220331102120
51441001430330
6115402431400
714623113153
oct3450752230
91214125440
10480498840
11227257988
12114b02560
1378717a53
1447b5ac9a
152c2b5060
hex1ca3d498

480498840 has 48 divisors (see below), whose sum is σ = 1561622400. Its totient is φ = 128132928.

The previous prime is 480498839. The next prime is 480498841. The reversal of 480498840 is 48894084.

480498840 is a `hidden beast` number, since 4 + 80 + 498 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (480498839) and next prime (480498841).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480498841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667000 + ... + 667719.

It is an arithmetic number, because the mean of its divisors is an integer number (32533800).

Almost surely, 2480498840 is an apocalyptic number.

480498840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480498840 is an abundant number, since it is smaller than the sum of its proper divisors (1081123560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480498840 is a wasteful number, since it uses less digits than its factorization.

480498840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334736 (or 1334729 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 480498840 is about 21920.2837572874. The cubic root of 480498840 is about 783.2446694074.

The spelling of 480498840 in words is "four hundred eighty million, four hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1334719 2669438 4004157 5338876 6673595 8008314 10677752 12012471 13347190 16016628 20020785 24024942 26694380 32033256 40041570 48049884 53388760 60062355 80083140 96099768 120124710 160166280 240249420 480498840