252901440 has 280 divisors, whose sum is σ = 982504512. Its totient is φ = 61240320.

The previous prime is 252901433. The next prime is 252901459. The reversal of 252901440 is 44109252.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284677 + ... + 285563.

Almost surely, 2^252901440 is an apocalyptic number.

252901440 is a gapful number since it is divisible by the number (20) 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 252901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491252256).

252901440 is an abundant number, since it is smaller than the sum of its proper divisors (729603072).

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

252901440 is a wasteful number, since it uses less digits than its factorization.

252901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252901440 is about 15902.8752117345. The cubic root of 252901440 is about 632.3882141908.

The spelling of 252901440 in words is "two hundred fifty-two million, nine hundred one thousand, four hundred forty".