253834560 has 280 divisors, whose sum is σ = 1032662400. Its totient is φ = 57977856.

The previous prime is 253834523. The next prime is 253834571. The reversal of 253834560 is 65438352.

It is a happy number.

253834560 is a `hidden beast` number, since 253 + 8 + 345 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180741 + ... + 182139.

It is an arithmetic number, because the mean of its divisors is an integer number (3688080).

Almost surely, 2^253834560 is an apocalyptic number.

253834560 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 253834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516331200).

253834560 is an abundant number, since it is smaller than the sum of its proper divisors (778827840).

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

253834560 is a wasteful number, since it uses less digits than its factorization.

253834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 253834560 is about 15932.1862906508. The cubic root of 253834560 is about 633.1650251438.

The spelling of 253834560 in words is "two hundred fifty-three million, eight hundred thirty-four thousand, five hundred sixty".