253377640 has 64 divisors (see below), whose sum is σ = 595285200. Its totient is φ = 96940032.

The previous prime is 253377623. The next prime is 253377643. The reversal of 253377640 is 46773352.

253377640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 56761156 + 196616484 = 7534^2 + 14022^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253377640.

It is not an unprimeable number, because it can be changed into a prime (253377643) 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, 130114 + ... + 132046.

Almost surely, 2^253377640 is an apocalyptic number.

253377640 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 253377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297642600).

253377640 is an abundant number, since it is smaller than the sum of its proper divisors (341907560).

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

253377640 is a wasteful number, since it uses less digits than its factorization.

253377640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The square root of 253377640 is about 15917.8403057701. The cubic root of 253377640 is about 632.7848831498.

The spelling of 253377640 in words is "two hundred fifty-three million, three hundred seventy-seven thousand, six hundred forty".