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484691040 = 25345149251
BaseRepresentation
bin11100111000111…
…100110001100000
31020210000212010000
4130320330301200
51443040103130
6120032340000
715003543261
oct3470746140
91223025100
10484691040
11229660609
121163a4600
1379554c42
144852c968
152c842260
hex1ce3cc60

484691040 has 240 divisors, whose sum is σ = 1728896400. Its totient is φ = 127872000.

The previous prime is 484691023. The next prime is 484691041. The reversal of 484691040 is 40196484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 484690986 and 484691004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484691041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1930915 + ... + 1931165.

It is an arithmetic number, because the mean of its divisors is an integer number (7203735).

Almost surely, 2484691040 is an apocalyptic number.

484691040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864448200).

484691040 is an abundant number, since it is smaller than the sum of its proper divisors (1244205360).

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

484691040 is a wasteful number, since it uses less digits than its factorization.

484691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 484691040 is about 22015.6998526052. The cubic root of 484691040 is about 785.5159305981.

The spelling of 484691040 in words is "four hundred eighty-four million, six hundred ninety-one thousand, forty".