252787392 has 420 divisors, whose sum is σ = 915627328. Its totient is φ = 68428800.

The previous prime is 252787391. The next prime is 252787463. The reversal of 252787392 is 293787252.

252787392 is a `hidden beast` number, since 252 + 7 + 8 + 7 + 392 = 666.

Its product of digits (423360) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (252787391) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8154417 + ... + 8154447.

Almost surely, 2^252787392 is an apocalyptic number.

252787392 is a gapful number since it is divisible by the number (22) 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 252787392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457813664).

252787392 is an abundant number, since it is smaller than the sum of its proper divisors (662839936).

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

252787392 is a wasteful number, since it uses less digits than its factorization.

252787392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 252787392 is about 15899.2890407087. The cubic root of 252787392 is about 632.2931396627.

The spelling of 252787392 in words is "two hundred fifty-two million, seven hundred eighty-seven thousand, three hundred ninety-two".