464572800 has 384 divisors, whose sum is σ = 1796016000. Its totient is φ = 116951040.

The previous prime is 464572799. The next prime is 464572813. The reversal of 464572800 is 8275464.

464572800 is a `hidden beast` number, since 4 + 6 + 4 + 572 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641459 + ... + 1641741.

It is an arithmetic number, because the mean of its divisors is an integer number (4677125).

Almost surely, 2^464572800 is an apocalyptic number.

464572800 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 464572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898008000).

464572800 is an abundant number, since it is smaller than the sum of its proper divisors (1331443200).

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

464572800 is a wasteful number, since it uses less digits than its factorization.

464572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 464572800 is about 21553.9509139276. The cubic root of 464572800 is about 774.4937658244.

The spelling of 464572800 in words is "four hundred sixty-four million, five hundred seventy-two thousand, eight hundred".