652562400 has 432 divisors, whose sum is σ = 2564835840. Its totient is φ = 143539200.

The previous prime is 652562311. The next prime is 652562411. The reversal of 652562400 is 4265256.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3645511 + ... + 3645689.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^652562400 is an apocalyptic number.

652562400 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 652562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

652562400 is an abundant number, since it is smaller than the sum of its proper divisors (1912273440).

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

652562400 is a wasteful number, since it uses less digits than its factorization.

652562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 652562400 is about 25545.3009377459. The cubic root of 652562400 is about 867.3758954534.

The spelling of 652562400 in words is "six hundred fifty-two million, five hundred sixty-two thousand, four hundred".