462640920 has 64 divisors (see below), whose sum is σ = 1586200320. Its totient is φ = 105746304.

The previous prime is 462640909. The next prime is 462640949. The reversal of 462640920 is 29046264.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274542 + ... + 276221.

It is an arithmetic number, because the mean of its divisors is an integer number (24784380).

Almost surely, 2^462640920 is an apocalyptic number.

462640920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462640920 is an abundant number, since it is smaller than the sum of its proper divisors (1123559400).

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

462640920 is a wasteful number, since it uses less digits than its factorization.

462640920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550784 (or 550780 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 462640920 is about 21509.0892415276. The cubic root of 462640920 is about 773.4187224051.

The spelling of 462640920 in words is "four hundred sixty-two million, six hundred forty thousand, nine hundred twenty".