252776992 has 96 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 107627520.

The previous prime is 252776987. The next prime is 252777023. The reversal of 252776992 is 299677252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277017 + ... + 277927.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^252776992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252776992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

252776992 is an abundant number, since it is smaller than the sum of its proper divisors (326379488).

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

252776992 is a wasteful number, since it uses less digits than its factorization.

252776992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 252776992 is about 15898.9619786953. The cubic root of 252776992 is about 632.2844684248.

The spelling of 252776992 in words is "two hundred fifty-two million, seven hundred seventy-six thousand, nine hundred ninety-two".