462996880 has 40 divisors (see below), whose sum is σ = 1090108800. Its totient is φ = 182851968.

The previous prime is 462996857. The next prime is 462996899. The reversal of 462996880 is 88699264.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×462996880² = 428732221779468800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30310 + ... + 42949.

It is an arithmetic number, because the mean of its divisors is an integer number (27252720).

Almost surely, 2^462996880 is an apocalyptic number.

462996880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462996880 is an abundant number, since it is smaller than the sum of its proper divisors (627111920).

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

462996880 is a wasteful number, since it uses less digits than its factorization.

462996880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73351 (or 73345 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 462996880 is about 21517.3622918796. The cubic root of 462996880 is about 773.6170299470.

The spelling of 462996880 in words is "four hundred sixty-two million, nine hundred ninety-six thousand, eight hundred eighty".