253159920 has 480 divisors, whose sum is σ = 1018809792. Its totient is φ = 55738368.

The previous prime is 253159913. The next prime is 253159927. The reversal of 253159920 is 29951352.

It is a happy number.

253159920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 15911²-1.

It is an interprime number because it is at equal distance from previous prime (253159913) and next prime (253159927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253159927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5887419 + ... + 5887461.

Almost surely, 2^253159920 is an apocalyptic number.

253159920 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 253159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509404896).

253159920 is an abundant number, since it is smaller than the sum of its proper divisors (765649872).

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

253159920 is a wasteful number, since it uses less digits than its factorization.

253159920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 253159920 is about 15910.9999685752. Note that the first 4 decimals coincide. The cubic root of 253159920 is about 632.6035866942.

The spelling of 253159920 in words is "two hundred fifty-three million, one hundred fifty-nine thousand, nine hundred twenty".