465482856960 has 960 divisors, whose sum is σ = 1819563647616. Its totient is φ = 109907804160.

The previous prime is 465482856907. The next prime is 465482856973. The reversal of 465482856960 is 69658284564.

465482856960 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 8 + 2 + 8 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1318648144 + ... + 1318648496.

Almost surely, 2^465482856960 is an apocalyptic number.

465482856960 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 465482856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909781823808).

465482856960 is an abundant number, since it is smaller than the sum of its proper divisors (1354080790656).

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

465482856960 is a wasteful number, since it uses less digits than its factorization.

465482856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 465482856960 in words is "four hundred sixty-five billion, four hundred eighty-two million, eight hundred fifty-six thousand, nine hundred sixty".