253918080 has 192 divisors, whose sum is σ = 944536320. Its totient is φ = 62484480.

The previous prime is 253918079. The next prime is 253918097. The reversal of 253918080 is 80819352.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73185 + ... + 76575.

It is an arithmetic number, because the mean of its divisors is an integer number (4919460).

Almost surely, 2^253918080 is an apocalyptic number.

253918080 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 253918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472268160).

253918080 is an abundant number, since it is smaller than the sum of its proper divisors (690618240).

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

253918080 is a wasteful number, since it uses less digits than its factorization.

253918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 253918080 is about 15934.8071842743. The cubic root of 253918080 is about 633.2344616355.

The spelling of 253918080 in words is "two hundred fifty-three million, nine hundred eighteen thousand, eighty".