253960560 has 240 divisors, whose sum is σ = 999311040. Its totient is φ = 56586240.

The previous prime is 253960543. The next prime is 253960571. The reversal of 253960560 is 65069352.

253960560 is a `hidden beast` number, since 2 + 5 + 3 + 96 + 0 + 560 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206026 + ... + 207254.

It is an arithmetic number, because the mean of its divisors is an integer number (4163796).

Almost surely, 2^253960560 is an apocalyptic number.

253960560 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 253960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499655520).

253960560 is an abundant number, since it is smaller than the sum of its proper divisors (745350480).

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

253960560 is a wasteful number, since it uses less digits than its factorization.

253960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 253960560 is about 15936.1400596255. The cubic root of 253960560 is about 633.2697726303.

The spelling of 253960560 in words is "two hundred fifty-three million, nine hundred sixty thousand, five hundred sixty".