253992772 has 48 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 109984160.

The previous prime is 253992757. The next prime is 253992793. The reversal of 253992772 is 277299352.

It is a hoax number, since the sum of its digits (46) 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 (46).

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, 423729 + ... + 424327.

It is an arithmetic number, because the mean of its divisors is an integer number (10584000).

Almost surely, 2^253992772 is an apocalyptic number.

253992772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253992772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

253992772 is a wasteful number, since it uses less digits than its factorization.

253992772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its digits is 476280, while the sum is 46.

The square root of 253992772 is about 15937.1506863680. The cubic root of 253992772 is about 633.2965458472.

The spelling of 253992772 in words is "two hundred fifty-three million, nine hundred ninety-two thousand, seven hundred seventy-two".