464056320 has 416 divisors, whose sum is σ = 1849462272. Its totient is φ = 96731136.

The previous prime is 464056297. The next prime is 464056357. The reversal of 464056320 is 23650464.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5590999 + ... + 5591081.

Almost surely, 2^464056320 is an apocalyptic number.

464056320 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 464056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924731136).

464056320 is an abundant number, since it is smaller than the sum of its proper divisors (1385405952).

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

464056320 is a wasteful number, since it uses less digits than its factorization.

464056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 464056320 is about 21541.9664840515. The cubic root of 464056320 is about 774.2066498141.

It can be divided in two parts, 46405 and 6320, that added together give a palindrome (52725).

The spelling of 464056320 in words is "four hundred sixty-four million, fifty-six thousand, three hundred twenty".