253003680 has 144 divisors (see below), whose sum is σ = 901031040. Its totient is φ = 64525824.

The previous prime is 253003651. The next prime is 253003691. The reversal of 253003680 is 86300352.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29301 + ... + 36939.

It is an arithmetic number, because the mean of its divisors is an integer number (6257160).

Almost surely, 2^253003680 is an apocalyptic number.

253003680 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 253003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450515520).

253003680 is an abundant number, since it is smaller than the sum of its proper divisors (648027360).

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

253003680 is a wasteful number, since it uses less digits than its factorization.

253003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253003680 is about 15906.0893999751. The cubic root of 253003680 is about 632.4734208498.

The spelling of 253003680 in words is "two hundred fifty-three million, three thousand, six hundred eighty".