462629664 has 96 divisors (see below), whose sum is σ = 1542119040. Its totient is φ = 132178176.

The previous prime is 462629627. The next prime is 462629677. The reversal of 462629664 is 466926264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 32199 + ... + 44294.

It is an arithmetic number, because the mean of its divisors is an integer number (16063740).

Almost surely, 2^462629664 is an apocalyptic number.

It is an amenable number.

462629664 is an abundant number, since it is smaller than the sum of its proper divisors (1079489376).

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

462629664 is a wasteful number, since it uses less digits than its factorization.

462629664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76519 (or 76505 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 462629664 is about 21508.8275831111. The cubic root of 462629664 is about 773.4124499582.

The spelling of 462629664 in words is "four hundred sixty-two million, six hundred twenty-nine thousand, six hundred sixty-four".