462995112960 has 264 divisors, whose sum is σ = 1688704255680. Its totient is φ = 116966965248.

The previous prime is 462995112907. The next prime is 462995112973. The reversal of 462995112960 is 69211599264.

462995112960 is a `hidden beast` number, since 4 + 62 + 9 + 9 + 511 + 2 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 462995112897 and 462995112906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611109 + ... + 1139931.

Almost surely, 2^462995112960 is an apocalyptic number.

462995112960 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 462995112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844352127840).

462995112960 is an abundant number, since it is smaller than the sum of its proper divisors (1225709142720).

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

462995112960 is a wasteful number, since it uses less digits than its factorization.

462995112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528873 (or 528852 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 462995112960 in words is "four hundred sixty-two billion, nine hundred ninety-five million, one hundred twelve thousand, nine hundred sixty".