253846080 has 168 divisors, whose sum is σ = 919276800. Its totient is φ = 64115712.

The previous prime is 253846079. The next prime is 253846081. The reversal of 253846080 is 80648352.

253846080 is a `hidden beast` number, since 2 + 538 + 46 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (253846079) and next prime (253846081).

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

It is not an unprimeable number, because it can be changed into a prime (253846081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52401 + ... + 57039.

Almost surely, 2^253846080 is an apocalyptic number.

253846080 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 253846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459638400).

253846080 is an abundant number, since it is smaller than the sum of its proper divisors (665430720).

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

253846080 is a wasteful number, since it uses less digits than its factorization.

253846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 253846080 is about 15932.5478188518. The cubic root of 253846080 is about 633.1746034963.

The spelling of 253846080 in words is "two hundred fifty-three million, eight hundred forty-six thousand, eighty".