252214560 has 288 divisors, whose sum is σ = 963144000. Its totient is φ = 61959168.

The previous prime is 252214541. The next prime is 252214577. The reversal of 252214560 is 65412252.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×252214560² = 127224368551987200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 505191 + ... + 505689.

It is an arithmetic number, because the mean of its divisors is an integer number (3344250).

Almost surely, 2^252214560 is an apocalyptic number.

252214560 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 252214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572000).

252214560 is an abundant number, since it is smaller than the sum of its proper divisors (710929440).

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

252214560 is a wasteful number, since it uses less digits than its factorization.

252214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252214560 is about 15881.2644332874. The cubic root of 252214560 is about 631.8151732137.

The spelling of 252214560 in words is "two hundred fifty-two million, two hundred fourteen thousand, five hundred sixty".