253395840 has 128 divisors (see below), whose sum is σ = 812344320. Its totient is φ = 67184640.

The previous prime is 253395839. The next prime is 253395851. The reversal of 253395840 is 48593352.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520077 + ... + 520563.

It is an arithmetic number, because the mean of its divisors is an integer number (6346440).

Almost surely, 2^253395840 is an apocalyptic number.

253395840 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 253395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406172160).

253395840 is an abundant number, since it is smaller than the sum of its proper divisors (558948480).

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

253395840 is a wasteful number, since it uses less digits than its factorization.

253395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 253395840 is about 15918.4119810991. The cubic root of 253395840 is about 632.8000336700.

The spelling of 253395840 in words is "two hundred fifty-three million, three hundred ninety-five thousand, eight hundred forty".