253294080 has 320 divisors, whose sum is σ = 907441920. Its totient is φ = 59867136.

The previous prime is 253294061. The next prime is 253294081. The reversal of 253294080 is 80492352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253294081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4293091 + ... + 4293149.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^253294080 is an apocalyptic number.

253294080 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 253294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

253294080 is an abundant number, since it is smaller than the sum of its proper divisors (654147840).

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

253294080 is a wasteful number, since it uses less digits than its factorization.

253294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 253294080 is about 15915.2153614081. The cubic root of 253294080 is about 632.7153146349.

The spelling of 253294080 in words is "two hundred fifty-three million, two hundred ninety-four thousand, eighty".