253787520 has 256 divisors, whose sum is σ = 965882880. Its totient is φ = 55418880.

The previous prime is 253787461. The next prime is 253787531. The reversal of 253787520 is 25787352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308710 + ... + 309530.

It is an arithmetic number, because the mean of its divisors is an integer number (3772980).

Almost surely, 2^253787520 is an apocalyptic number.

253787520 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 253787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482941440).

253787520 is an abundant number, since it is smaller than the sum of its proper divisors (712095360).

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

253787520 is a wasteful number, since it uses less digits than its factorization.

253787520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 253787520 is about 15930.7099653468. The cubic root of 253787520 is about 633.1259105293.

The spelling of 253787520 in words is "two hundred fifty-three million, seven hundred eighty-seven thousand, five hundred twenty".