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480376 = 231331149
BaseRepresentation
bin1110101010001111000
3220101221201
41311101320
5110333001
614143544
74040341
oct1652170
9811851
10480376
112a8a06
121b1bb4
1313a860
14c70c8
1597501
hex75478

480376 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 213120.

The previous prime is 480373. The next prime is 480379. The reversal of 480376 is 673084.

It is an interprime number because it is at equal distance from previous prime (480373) and next prime (480379).

It is a super-2 number, since 2×4803762 = 461522202752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3150 + ... + 3298.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2480376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

480376 is an abundant number, since it is smaller than the sum of its proper divisors (527624).

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

480376 is a wasteful number, since it uses less digits than its factorization.

480376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 480376 is about 693.0916245346. The cubic root of 480376 is about 78.3177917963.

The spelling of 480376 in words is "four hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 149 248 298 403 596 806 1192 1612 1937 3224 3874 4619 7748 9238 15496 18476 36952 60047 120094 240188 480376