252437460 has 192 divisors, whose sum is σ = 811641600. Its totient is φ = 58544640.

The previous prime is 252437453. The next prime is 252437461. The reversal of 252437460 is 64734252.

It is a super-2 number, since 2×252437460² = 127449342422503200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252437461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2315886 + ... + 2315994.

It is an arithmetic number, because the mean of its divisors is an integer number (4227300).

Almost surely, 2^252437460 is an apocalyptic number.

252437460 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 252437460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405820800).

252437460 is an abundant number, since it is smaller than the sum of its proper divisors (559204140).

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

252437460 is a wasteful number, since it uses less digits than its factorization.

252437460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 252437460 is about 15888.2805866462. The cubic root of 252437460 is about 632.0012451239.

The spelling of 252437460 in words is "two hundred fifty-two million, four hundred thirty-seven thousand, four hundred sixty".