464754720 has 48 divisors (see below), whose sum is σ = 1463978880. Its totient is φ = 123934464.

The previous prime is 464754683. The next prime is 464754733. The reversal of 464754720 is 27457464.

It is a tau number, because it is divible by the number of its divisors (48).

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, 483640 + ... + 484599.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 2^464754720 is an apocalyptic number.

464754720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464754720 is an abundant number, since it is smaller than the sum of its proper divisors (999224160).

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

464754720 is a wasteful number, since it uses less digits than its factorization.

464754720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968257 (or 968249 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 464754720 is about 21558.1706088434. The cubic root of 464754720 is about 774.5948461567.

The spelling of 464754720 in words is "four hundred sixty-four million, seven hundred fifty-four thousand, seven hundred twenty".