464527120 has 40 divisors (see below), whose sum is σ = 1081352664. Its totient is φ = 185582592.

The previous prime is 464527117. The next prime is 464527127. The reversal of 464527120 is 21725464.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 464488704 = 196^2 + 21552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (464527127) 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, 71862 + ... + 78058.

Almost surely, 2^464527120 is an apocalyptic number.

464527120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464527120 is an abundant number, since it is smaller than the sum of its proper divisors (616825544).

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

464527120 is a wasteful number, since it uses less digits than its factorization.

464527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 464527120 is about 21552.8912213652. The cubic root of 464527120 is about 774.4683804705.

The spelling of 464527120 in words is "four hundred sixty-four million, five hundred twenty-seven thousand, one hundred twenty".