464615120 has 40 divisors (see below), whose sum is σ = 1081172616. Its totient is φ = 185683968.

The previous prime is 464615093. The next prime is 464615131. The reversal of 464615120 is 21516464.

It can be written as a sum of positive squares in 4 ways, for example, as 32307856 + 432307264 = 5684^2 + 20792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×464615120² = 431734419465228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138584 + ... + 141896.

Almost surely, 2^464615120 is an apocalyptic number.

464615120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464615120 is an abundant number, since it is smaller than the sum of its proper divisors (616557496).

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

464615120 is a wasteful number, since it uses less digits than its factorization.

464615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 464615120 is about 21554.9326141373. The cubic root of 464615120 is about 774.5172824695.

The spelling of 464615120 in words is "four hundred sixty-four million, six hundred fifteen thousand, one hundred twenty".