252914508 has 192 divisors, whose sum is σ = 866073600. Its totient is φ = 61793280.

The previous prime is 252914507. The next prime is 252914521. The reversal of 252914508 is 805419252.

252914508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (252914503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140478 + ... + 142266.

It is an arithmetic number, because the mean of its divisors is an integer number (4510800).

Almost surely, 2^252914508 is an apocalyptic number.

252914508 is a gapful number since it is divisible by the number (28) 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 252914508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433036800).

252914508 is an abundant number, since it is smaller than the sum of its proper divisors (613159092).

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

252914508 is a wasteful number, since it uses less digits than its factorization.

252914508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 252914508 is about 15903.2860755254. The cubic root of 252914508 is about 632.3991063218.

The spelling of 252914508 in words is "two hundred fifty-two million, nine hundred fourteen thousand, five hundred eight".