252307440 has 640 divisors, whose sum is σ = 1139927040. Its totient is φ = 49766400.

The previous prime is 252307439. The next prime is 252307463. The reversal of 252307440 is 44703252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6153820 + ... + 6153860.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^252307440 is an apocalyptic number.

252307440 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 252307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

252307440 is an abundant number, since it is smaller than the sum of its proper divisors (887619600).

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

252307440 is a wasteful number, since it uses less digits than its factorization.

252307440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

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

The square root of 252307440 is about 15884.1883645341. The cubic root of 252307440 is about 631.8927206681.

The spelling of 252307440 in words is "two hundred fifty-two million, three hundred seven thousand, four hundred forty".