253946880 has 352 divisors, whose sum is σ = 990420480. Its totient is φ = 61194240.

The previous prime is 253946879. The next prime is 253946911. The reversal of 253946880 is 88649352.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520557 + ... + 1520723.

Almost surely, 2^253946880 is an apocalyptic number.

253946880 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 253946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

253946880 is an abundant number, since it is smaller than the sum of its proper divisors (736473600).

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

253946880 is a wasteful number, since it uses less digits than its factorization.

253946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 253946880 is about 15935.7108407501. The cubic root of 253946880 is about 633.2584017228.

The spelling of 253946880 in words is "two hundred fifty-three million, nine hundred forty-six thousand, eight hundred eighty".