465817968 has 240 divisors, whose sum is σ = 1664822016. Its totient is φ = 118056960.

The previous prime is 465817949. The next prime is 465817991. The reversal of 465817968 is 869718564.

465817968 is a `hidden beast` number, since 465 + 8 + 179 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476296 + ... + 477272.

Almost surely, 2^465817968 is an apocalyptic number.

465817968 is a gapful number since it is divisible by the number (48) 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 465817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832411008).

465817968 is an abundant number, since it is smaller than the sum of its proper divisors (1199004048).

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

465817968 is a wasteful number, since it uses less digits than its factorization.

465817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1043 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 465817968 is about 21582.8164983164. The cubic root of 465817968 is about 775.1850923849.

The spelling of 465817968 in words is "four hundred sixty-five million, eight hundred seventeen thousand, nine hundred sixty-eight".