465492802320000 has 5120 divisors, whose sum is σ = 2164119560064000. Its totient is φ = 97646155776000.

The previous prime is 465492802319977. The next prime is 465492802320011. The reversal of 465492802320000 is 23208294564.

465492802320000 is a `hidden beast` number, since 4 + 6 + 5 + 49 + 280 + 2 + 320 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2690709839914 + ... + 2690709840086.

It is an arithmetic number, because the mean of its divisors is an integer number (422679601575).

Almost surely, 2^{465492802320000} is an apocalyptic number.

465492802320000 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 465492802320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082059780032000).

465492802320000 is an abundant number, since it is smaller than the sum of its proper divisors (1698626757744000).

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

465492802320000 is an frugal number, since it uses more digits than its factorization.

465492802320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 465492802320000 in words is "four hundred sixty-five trillion, four hundred ninety-two billion, eight hundred two million, three hundred twenty thousand".