253915776 has 64 divisors (see below), whose sum is σ = 749414400. Its totient is φ = 84637440.

The previous prime is 253915771. The next prime is 253915811. The reversal of 253915776 is 677519352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (253915771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33280 + ... + 40191.

It is an arithmetic number, because the mean of its divisors is an integer number (11709600).

Almost surely, 2^253915776 is an apocalyptic number.

It is an amenable number.

253915776 is an abundant number, since it is smaller than the sum of its proper divisors (495498624).

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

253915776 is an equidigital number, since it uses as much as digits as its factorization.

253915776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73494 (or 73476 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 253915776 is about 15934.7348895424. The cubic root of 253915776 is about 633.2325463503.

It can be divided in two parts, 25 and 3915776, that added together give a triangular number (3915801 = T₂₇₉₈).

The spelling of 253915776 in words is "two hundred fifty-three million, nine hundred fifteen thousand, seven hundred seventy-six".