480902958360 has 448 divisors, whose sum is σ = 1777416838560. Its totient is φ = 116080128000.

The previous prime is 480902958271. The next prime is 480902958413. The reversal of 480902958360 is 63859209084.

480902958360 is a `hidden beast` number, since 480 + 9 + 0 + 29 + 5 + 83 + 60 = 666.

It is a super-3 number, since 3×480902958360³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 480902958297 and 480902958306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77300050 + ... + 77306270.

Almost surely, 2^480902958360 is an apocalyptic number.

480902958360 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 480902958360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888708419280).

480902958360 is an abundant number, since it is smaller than the sum of its proper divisors (1296513880200).

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

480902958360 is a wasteful number, since it uses less digits than its factorization.

480902958360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 480902958360 in words is "four hundred eighty billion, nine hundred two million, nine hundred fifty-eight thousand, three hundred sixty".