252604440 has 192 divisors, whose sum is σ = 925999200. Its totient is φ = 61205760.

The previous prime is 252604433. The next prime is 252604453. The reversal of 252604440 is 44406252.

252604440 is a `hidden beast` number, since 2 + 52 + 604 + 4 + 4 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129714 + ... + 131646.

Almost surely, 2^252604440 is an apocalyptic number.

252604440 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 252604440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462999600).

252604440 is an abundant number, since it is smaller than the sum of its proper divisors (673394760).

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

252604440 is a wasteful number, since it uses less digits than its factorization.

252604440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 252604440 is about 15893.5345345206. The cubic root of 252604440 is about 632.1405645257.

The spelling of 252604440 in words is "two hundred fifty-two million, six hundred four thousand, four hundred forty".