253018080 has 240 divisors, whose sum is σ = 1020872160. Its totient is φ = 57811968.

The previous prime is 253018049. The next prime is 253018091. The reversal of 253018080 is 80810352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 89326 + ... + 92114.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2^253018080 is an apocalyptic number.

253018080 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 253018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

253018080 is an abundant number, since it is smaller than the sum of its proper divisors (767854080).

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

253018080 is a wasteful number, since it uses less digits than its factorization.

253018080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 253018080 is about 15906.5420503641. The cubic root of 253018080 is about 632.4854199434.

The spelling of 253018080 in words is "two hundred fifty-three million, eighteen thousand, eighty".