464790720 has 112 divisors (see below), whose sum is σ = 1500091488. Its totient is φ = 121896960.

The previous prime is 464790713. The next prime is 464790757. The reversal of 464790720 is 27097464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54592 + ... + 62528.

It is an arithmetic number, because the mean of its divisors is an integer number (13393674).

Almost surely, 2^464790720 is an apocalyptic number.

464790720 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 464790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750045744).

464790720 is an abundant number, since it is smaller than the sum of its proper divisors (1035300768).

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

464790720 is a wasteful number, since it uses less digits than its factorization.

464790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 464790720 is about 21559.0055429280. The cubic root of 464790720 is about 774.6148457345.

The spelling of 464790720 in words is "four hundred sixty-four million, seven hundred ninety thousand, seven hundred twenty".