652774800 has 120 divisors (see below), whose sum is σ = 2097224896. Its totient is φ = 173560320.

The previous prime is 652774763. The next prime is 652774807. The reversal of 652774800 is 8477256.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×652774800² = 852229879030080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (652774807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583842 + ... + 584958.

Almost surely, 2^652774800 is an apocalyptic number.

652774800 is a gapful number since it is divisible by the number (60) 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 652774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048612448).

652774800 is an abundant number, since it is smaller than the sum of its proper divisors (1444450096).

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

652774800 is a wasteful number, since it uses less digits than its factorization.

652774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 652774800 is about 25549.4579198855. The cubic root of 652774800 is about 867.4699915151.

The spelling of 652774800 in words is "six hundred fifty-two million, seven hundred seventy-four thousand, eight hundred".