252109440 has 384 divisors, whose sum is σ = 996727680. Its totient is φ = 58122240.

The previous prime is 252109421. The next prime is 252109477. The reversal of 252109440 is 44901252.

252109440 is a `hidden beast` number, since 2 + 5 + 210 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×252109440² = 127118339474227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457194 + ... + 1457366.

It is an arithmetic number, because the mean of its divisors is an integer number (2595645).

Almost surely, 2^252109440 is an apocalyptic number.

252109440 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 252109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498363840).

252109440 is an abundant number, since it is smaller than the sum of its proper divisors (744618240).

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

252109440 is a wasteful number, since it uses less digits than its factorization.

252109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

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

The square root of 252109440 is about 15877.9545282130. The cubic root of 252109440 is about 631.7273833569.

The spelling of 252109440 in words is "two hundred fifty-two million, one hundred nine thousand, four hundred forty".