465972817104 has 480 divisors, whose sum is σ = 1459063756800. Its totient is φ = 138148577280.

The previous prime is 465972817097. The next prime is 465972817111. The reversal of 465972817104 is 401718279564.

465972817104 is a `hidden beast` number, since 4 + 6 + 597 + 28 + 17 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (465972817097) and next prime (465972817111).

It is a congruent number.

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, 972803137 + ... + 972803615.

It is an arithmetic number, because the mean of its divisors is an integer number (3039716160).

Almost surely, 2^465972817104 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 465972817104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729531878400).

465972817104 is an abundant number, since it is smaller than the sum of its proper divisors (993090939696).

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

465972817104 is a wasteful number, since it uses less digits than its factorization.

465972817104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 465972817104 in words is "four hundred sixty-five billion, nine hundred seventy-two million, eight hundred seventeen thousand, one hundred four".