252903840 has 96 divisors (see below), whose sum is σ = 910465920. Its totient is φ = 57805824.

The previous prime is 252903839. The next prime is 252903841. The reversal of 252903840 is 48309252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252903839) and next prime (252903841).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (252903841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34275 + ... + 40994.

It is an arithmetic number, because the mean of its divisors is an integer number (9484020).

Almost surely, 2^252903840 is an apocalyptic number.

252903840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252903840 is an abundant number, since it is smaller than the sum of its proper divisors (657562080).

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

252903840 is a wasteful number, since it uses less digits than its factorization.

252903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75294 (or 75286 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 252903840 is about 15902.9506696085. The cubic root of 252903840 is about 632.3902146103.

The spelling of 252903840 in words is "two hundred fifty-two million, nine hundred three thousand, eight hundred forty".