462507648 has 32 divisors (see below), whose sum is σ = 1228536960. Its totient is φ = 154169088.

The previous prime is 462507637. The next prime is 462507697. The reversal of 462507648 is 846705264.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601840 + ... + 602607.

It is an arithmetic number, because the mean of its divisors is an integer number (38391780).

Almost surely, 2^462507648 is an apocalyptic number.

462507648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462507648 is an abundant number, since it is smaller than the sum of its proper divisors (766029312).

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

462507648 is a wasteful number, since it uses less digits than its factorization.

462507648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204464 (or 1204452 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 462507648 is about 21505.9909792597. The cubic root of 462507648 is about 773.3444495694.

The spelling of 462507648 in words is "four hundred sixty-two million, five hundred seven thousand, six hundred forty-eight".