253779456 has 80 divisors (see below), whose sum is σ = 772700544. Its totient is φ = 72505344.

The previous prime is 253779437. The next prime is 253779467. The reversal of 253779456 is 654977352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 22553.

Almost surely, 2^253779456 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 253779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386350272).

253779456 is an abundant number, since it is smaller than the sum of its proper divisors (518921088).

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

253779456 is an equidigital number, since it uses as much as digits as its factorization.

253779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23631 (or 23615 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The square root of 253779456 is about 15930.4568672716. The cubic root of 253779456 is about 633.1192046816.

The spelling of 253779456 in words is "two hundred fifty-three million, seven hundred seventy-nine thousand, four hundred fifty-six".