462991000960 has 64 divisors (see below), whose sum is σ = 1154961283680. Its totient is φ = 177144377344.

The previous prime is 462991000943. The next prime is 462991000963. The reversal of 462991000960 is 69000199264.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 462991000960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462991000963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15711877 + ... + 15741316.

Almost surely, 2^462991000960 is an apocalyptic number.

462991000960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462991000960 is an abundant number, since it is smaller than the sum of its proper divisors (691970282720).

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

462991000960 is a wasteful number, since it uses less digits than its factorization.

462991000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31453235 (or 31453223 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 462991000960 in words is "four hundred sixty-two billion, nine hundred ninety-one million, nine hundred sixty", and thus it is an aban number.