652800000 has 312 divisors, whose sum is σ = 2303571312. Its totient is φ = 163840000.

The previous prime is 652799977. The next prime is 652800011. The reversal of 652800000 is 8256.

It is a happy number.

It is a super-2 number, since 2×652800000² = 852295680000000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 652800000.

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 23 ways as a sum of consecutive naturals, for example, 38399992 + ... + 38400008.

Almost surely, 2^652800000 is an apocalyptic number.

652800000 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 652800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151785656).

652800000 is an abundant number, since it is smaller than the sum of its proper divisors (1650771312).

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

652800000 is an frugal number, since it uses more digits than its factorization.

652800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 652800000 is about 25549.9510762741. The cubic root of 652800000 is about 867.4811541001.

Adding to 652800000 its reverse (8256), we get a palindrome (652808256).

The spelling of 652800000 in words is "six hundred fifty-two million, eight hundred thousand".