253544640 has 112 divisors (see below), whose sum is σ = 840077568. Its totient is φ = 64666624.

The previous prime is 253544639. The next prime is 253544701. The reversal of 253544640 is 46445352.

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, 16339 + ... + 27821.

Almost surely, 2^253544640 is an apocalyptic number.

253544640 is a gapful number since it is divisible by the number (20) 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 253544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420038784).

253544640 is an abundant number, since it is smaller than the sum of its proper divisors (586532928).

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

253544640 is a wasteful number, since it uses less digits than its factorization.

253544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11526 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 253544640 is about 15923.0851282030. The cubic root of 253544640 is about 632.9238744559.

Adding to 253544640 its reverse (46445352), we get a palindrome (299989992).

The spelling of 253544640 in words is "two hundred fifty-three million, five hundred forty-four thousand, six hundred forty".