652493952 has 288 divisors, whose sum is σ = 2144513280. Its totient is φ = 190080000.

The previous prime is 652493951. The next prime is 652493957. The reversal of 652493952 is 259394256.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×652493952³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 652493898 and 652493907.

It is not an unprimeable number, because it can be changed into a prime (652493951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4321077 + ... + 4321227.

Almost surely, 2^652493952 is an apocalyptic number.

652493952 is a gapful number since it is divisible by the number (62) 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 652493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072256640).

652493952 is an abundant number, since it is smaller than the sum of its proper divisors (1492019328).

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

652493952 is a wasteful number, since it uses less digits than its factorization.

652493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 652493952 is about 25543.9611650190. The cubic root of 652493952 is about 867.3455677171.

The spelling of 652493952 in words is "six hundred fifty-two million, four hundred ninety-three thousand, nine hundred fifty-two".