652295952 has 240 divisors, whose sum is σ = 2305031040. Its totient is φ = 167270400.

The previous prime is 652295929. The next prime is 652295983. The reversal of 652295952 is 259592256.

652295952 is a `hidden beast` number, since 6 + 52 + 2 + 9 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 652295898 and 652295907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986502 + ... + 987162.

It is an arithmetic number, because the mean of its divisors is an integer number (9604296).

Almost surely, 2^652295952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652295952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152515520).

652295952 is an abundant number, since it is smaller than the sum of its proper divisors (1652735088).

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

652295952 is a wasteful number, since it uses less digits than its factorization.

652295952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 652295952 is about 25540.0851995447. The cubic root of 652295952 is about 867.2578265225.

The spelling of 652295952 in words is "six hundred fifty-two million, two hundred ninety-five thousand, nine hundred fifty-two".