253393840 has 160 divisors (see below), whose sum is σ = 730667520. Its totient is φ = 79736832.

The previous prime is 253393837. The next prime is 253393841. The reversal of 253393840 is 48393352.

It is a self number, because there is not a number n which added to its sum of digits gives 253393840.

It is not an unprimeable number, because it can be changed into a prime (253393841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409051 + ... + 409669.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2^253393840 is an apocalyptic number.

253393840 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 253393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365333760).

253393840 is an abundant number, since it is smaller than the sum of its proper divisors (477273680).

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

253393840 is a wasteful number, since it uses less digits than its factorization.

253393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 253393840 is about 15918.3491606385. The cubic root of 253393840 is about 632.7983688131.

The spelling of 253393840 in words is "two hundred fifty-three million, three hundred ninety-three thousand, eight hundred forty".