252692352 has 384 divisors, whose sum is σ = 901843200. Its totient is φ = 68935680.

The previous prime is 252692327. The next prime is 252692353. The reversal of 252692352 is 253296252.

It is a happy number.

252692352 is digitally balanced in base 2 and base 3, because in such bases 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252692353) 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, 10986613 + ... + 10986635.

It is an arithmetic number, because the mean of its divisors is an integer number (2348550).

Almost surely, 2^252692352 is an apocalyptic number.

252692352 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 252692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450921600).

252692352 is an abundant number, since it is smaller than the sum of its proper divisors (649150848).

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

252692352 is a wasteful number, since it uses less digits than its factorization.

252692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 252692352 is about 15896.2999468430. The cubic root of 252692352 is about 632.2138890427.

The spelling of 252692352 in words is "two hundred fifty-two million, six hundred ninety-two thousand, three hundred fifty-two".