652646400 has 288 divisors, whose sum is σ = 2469841920. Its totient is φ = 148930560.

The previous prime is 652646387. The next prime is 652646429. The reversal of 652646400 is 4646256.

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, 1074897 + ... + 1075503.

It is an arithmetic number, because the mean of its divisors is an integer number (8575840).

Almost surely, 2^652646400 is an apocalyptic number.

652646400 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 652646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234920960).

652646400 is an abundant number, since it is smaller than the sum of its proper divisors (1817195520).

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

652646400 is a wasteful number, since it uses less digits than its factorization.

652646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 652646400 is about 25546.9450228398. The cubic root of 652646400 is about 867.4131110255.

The spelling of 652646400 in words is "six hundred fifty-two million, six hundred forty-six thousand, four hundred".