464728320 has 576 divisors, whose sum is σ = 2013258240. Its totient is φ = 99090432.

The previous prime is 464728301. The next prime is 464728349. The reversal of 464728320 is 23827464.

464728320 is a `hidden beast` number, since 4 + 647 + 2 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×464728320² = 431944822820044800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4112584 + ... + 4112696.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^464728320 is an apocalyptic number.

464728320 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 464728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006629120).

464728320 is an abundant number, since it is smaller than the sum of its proper divisors (1548529920).

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

464728320 is a wasteful number, since it uses less digits than its factorization.

464728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 464728320 is about 21557.5583032959. The cubic root of 464728320 is about 774.5801791433.

The spelling of 464728320 in words is "four hundred sixty-four million, seven hundred twenty-eight thousand, three hundred twenty".