253251456 has 128 divisors (see below), whose sum is σ = 717100800. Its totient is φ = 78962688.

The previous prime is 253251451. The next prime is 253251517. The reversal of 253251456 is 654152352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×253251456² = 128272599932239872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253251451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751320 + ... + 751656.

It is an arithmetic number, because the mean of its divisors is an integer number (5602350).

Almost surely, 2^253251456 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 253251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358550400).

253251456 is an abundant number, since it is smaller than the sum of its proper divisors (463849344).

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

253251456 is a wasteful number, since it uses less digits than its factorization.

253251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 253251456 is about 15913.8762091453. The cubic root of 253251456 is about 632.6798218058.

The spelling of 253251456 in words is "two hundred fifty-three million, two hundred fifty-one thousand, four hundred fifty-six".