252282576 has 240 divisors, whose sum is σ = 842279424. Its totient is φ = 64447488.

The previous prime is 252282559. The next prime is 252282577. The reversal of 252282576 is 675282252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252282577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1131201 + ... + 1131423.

Almost surely, 2^252282576 is an apocalyptic number.

252282576 is a gapful number since it is divisible by the number (26) 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 252282576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421139712).

252282576 is an abundant number, since it is smaller than the sum of its proper divisors (589996848).

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

252282576 is a wasteful number, since it uses less digits than its factorization.

252282576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 252282576 is about 15883.4056801430. The cubic root of 252282576 is about 631.8719630602.

The spelling of 252282576 in words is "two hundred fifty-two million, two hundred eighty-two thousand, five hundred seventy-six".