465792814980 has 216 divisors, whose sum is σ = 1469136516120. Its totient is φ = 124045240320.

The previous prime is 465792814969. The next prime is 465792814997. The reversal of 465792814980 is 89418297564.

465792814980 is a `hidden beast` number, since 4 + 6 + 57 + 92 + 8 + 1 + 498 + 0 = 666.

465792814980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23985336384 + 441807478596 = 154872^2 + 664686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121901470 + ... + 121905290.

It is an arithmetic number, because the mean of its divisors is an integer number (6801557945).

Almost surely, 2^465792814980 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 465792814980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734568258060).

465792814980 is an abundant number, since it is smaller than the sum of its proper divisors (1003343701140).

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

465792814980 is an equidigital number, since it uses as much as digits as its factorization.

465792814980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 465792814980 in words is "four hundred sixty-five billion, seven hundred ninety-two million, eight hundred fourteen thousand, nine hundred eighty".