253256796 has 72 divisors (see below), whose sum is σ = 695012864. Its totient is φ = 77293440.

The previous prime is 253256771. The next prime is 253256819. The reversal of 253256796 is 697652352.

253256796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57306 + ... + 61566.

Almost surely, 2^253256796 is an apocalyptic number.

253256796 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 253256796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347506432).

253256796 is an abundant number, since it is smaller than the sum of its proper divisors (441756068).

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

253256796 is a wasteful number, since it uses less digits than its factorization.

253256796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4406 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 253256796 is about 15914.0439863663. The cubic root of 253256796 is about 632.6842686200.

It can be divided in two parts, 253 and 256796, that added together give a square (257049 = 507²).

The spelling of 253256796 in words is "two hundred fifty-three million, two hundred fifty-six thousand, seven hundred ninety-six".