464364900 has 90 divisors (see below), whose sum is σ = 1505313810. Its totient is φ = 123828480.

The previous prime is 464364881. The next prime is 464364919. The reversal of 464364900 is 9463464.

464364900 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 649 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464364881) and next prime (464364919).

It can be written as a sum of positive squares in 3 ways, for example, as 910116 + 463454784 = 954^2 + 21528^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20565 + ... + 36764.

It is an arithmetic number, because the mean of its divisors is an integer number (16725709).

Almost surely, 2^464364900 is an apocalyptic number.

It is an amenable number.

464364900 is an abundant number, since it is smaller than the sum of its proper divisors (1040948910).

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

464364900 is a wasteful number, since it uses less digits than its factorization.

464364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57355 (or 57339 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 464364900 is about 21549.1275925500. The cubic root of 464364900 is about 774.3782178926.

The spelling of 464364900 in words is "four hundred sixty-four million, three hundred sixty-four thousand, nine hundred".