464164640 has 24 divisors (see below), whose sum is σ = 1096589340. Its totient is φ = 185665792.

The previous prime is 464164627. The next prime is 464164663. The reversal of 464164640 is 46461464.

It can be written as a sum of positive squares in 2 ways, for example, as 427827856 + 36336784 = 20684^2 + 6028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 464164640.

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, 1450355 + ... + 1450674.

Almost surely, 2^464164640 is an apocalyptic number.

464164640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464164640 is an abundant number, since it is smaller than the sum of its proper divisors (632424700).

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

464164640 is a wasteful number, since it uses less digits than its factorization.

464164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901044 (or 2901036 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 464164640 is about 21544.4804996547. The cubic root of 464164640 is about 774.2668835519.

The spelling of 464164640 in words is "four hundred sixty-four million, one hundred sixty-four thousand, six hundred forty".