464628480 has 72 divisors (see below), whose sum is σ = 1483919472. Its totient is φ = 123899904.

The previous prime is 464628457. The next prime is 464628487. The reversal of 464628480 is 84826464.

It is a super-2 number, since 2×464628480² = 431759248854220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464628487) by changing a digit.

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, 56659 + ... + 64338.

Almost surely, 2^464628480 is an apocalyptic number.

464628480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464628480 is an abundant number, since it is smaller than the sum of its proper divisors (1019290992).

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

464628480 is a wasteful number, since it uses less digits than its factorization.

464628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121021 (or 121007 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 464628480 is about 21555.2425177728. The cubic root of 464628480 is about 774.5247061422.

The spelling of 464628480 in words is "four hundred sixty-four million, six hundred twenty-eight thousand, four hundred eighty".