252407232 has 336 divisors, whose sum is σ = 945123840. Its totient is φ = 65318400.

The previous prime is 252407231. The next prime is 252407237. The reversal of 252407232 is 232704252.

252407232 is a `hidden beast` number, since 25 + 2 + 407 + 232 = 666.

252407232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252407196 and 252407205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252407231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931257 + ... + 931527.

Almost surely, 2^252407232 is an apocalyptic number.

252407232 is a gapful number since it is divisible by the number (22) 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 252407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472561920).

252407232 is an abundant number, since it is smaller than the sum of its proper divisors (692716608).

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

252407232 is a wasteful number, since it uses less digits than its factorization.

252407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 252407232 is about 15887.3292909790. The cubic root of 252407232 is about 631.9760178904.

The spelling of 252407232 in words is "two hundred fifty-two million, four hundred seven thousand, two hundred thirty-two".