652982400 has 576 divisors, whose sum is σ = 2762323200. Its totient is φ = 143769600.

The previous prime is 652982399. The next prime is 652982411. The reversal of 652982400 is 4289256.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 8265561 + ... + 8265639.

It is an arithmetic number, because the mean of its divisors is an integer number (4795700).

Almost surely, 2^652982400 is an apocalyptic number.

652982400 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 652982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381161600).

652982400 is an abundant number, since it is smaller than the sum of its proper divisors (2109340800).

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

652982400 is a wasteful number, since it uses less digits than its factorization.

652982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 652982400 is about 25553.5203054295. The cubic root of 652982400 is about 867.5619413896.

The spelling of 652982400 in words is "six hundred fifty-two million, nine hundred eighty-two thousand, four hundred".