464385564 has 36 divisors (see below), whose sum is σ = 1184844024. Its totient is φ = 153347232.

The previous prime is 464385529. The next prime is 464385569. The reversal of 464385564 is 465583464.

464385564 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 85 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464385569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56427 + ... + 64130.

It is an arithmetic number, because the mean of its divisors is an integer number (32912334).

Almost surely, 2^464385564 is an apocalyptic number.

It is an amenable number.

464385564 is an abundant number, since it is smaller than the sum of its proper divisors (720458460).

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

464385564 is a wasteful number, since it uses less digits than its factorization.

464385564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120674 (or 120669 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 464385564 is about 21549.6070497817. The cubic root of 464385564 is about 774.3897042001.

The spelling of 464385564 in words is "four hundred sixty-four million, three hundred eighty-five thousand, five hundred sixty-four".