464814720 has 256 divisors, whose sum is σ = 1693036800. Its totient is φ = 120434688.

The previous prime is 464814709. The next prime is 464814737. The reversal of 464814720 is 27418464.

464814720 is a `hidden beast` number, since 4 + 648 + 1 + 4 + 7 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638997 + ... + 639723.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^464814720 is an apocalyptic number.

464814720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400).

464814720 is an abundant number, since it is smaller than the sum of its proper divisors (1228222080).

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

464814720 is a wasteful number, since it uses less digits than its factorization.

464814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 464814720 is about 21559.5621476875. The cubic root of 464814720 is about 774.6281782126.

The spelling of 464814720 in words is "four hundred sixty-four million, eight hundred fourteen thousand, seven hundred twenty".