252405440 has 112 divisors (see below), whose sum is σ = 691066944. Its totient is φ = 86016000.

The previous prime is 252405437. The next prime is 252405467. The reversal of 252405440 is 44504252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×252405440² = 127417012283187200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629240 + ... + 629640.

Almost surely, 2^252405440 is an apocalyptic number.

252405440 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 252405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345533472).

252405440 is an abundant number, since it is smaller than the sum of its proper divisors (438661504).

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

252405440 is a wasteful number, since it uses less digits than its factorization.

252405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 252405440 is about 15887.2728937348. The cubic root of 252405440 is about 631.9745222865.

Adding to 252405440 its reverse (44504252), we get a palindrome (296909692).

The spelling of 252405440 in words is "two hundred fifty-two million, four hundred five thousand, four hundred forty".