253311840 has 192 divisors, whose sum is σ = 894136320. Its totient is φ = 66977280.

The previous prime is 253311827. The next prime is 253311887. The reversal of 253311840 is 48113352.

It is a happy number.

253311840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824967 + ... + 825273.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^253311840 is an apocalyptic number.

253311840 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 253311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447068160).

253311840 is an abundant number, since it is smaller than the sum of its proper divisors (640824480).

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

253311840 is a wasteful number, since it uses less digits than its factorization.

253311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253311840 is about 15915.7733082625. The cubic root of 253311840 is about 632.7301021385.

The spelling of 253311840 in words is "two hundred fifty-three million, three hundred eleven thousand, eight hundred forty".