253263360 has 240 divisors, whose sum is σ = 943238736. Its totient is φ = 57802752.

The previous prime is 253263343. The next prime is 253263379. The reversal of 253263360 is 63362352.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

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, 375984 + ... + 376656.

Almost surely, 2^253263360 is an apocalyptic number.

253263360 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 253263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471619368).

253263360 is an abundant number, since it is smaller than the sum of its proper divisors (689975376).

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

253263360 is an equidigital number, since it uses as much as digits as its factorization.

253263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 253263360 is about 15914.2502179650. The cubic root of 253263360 is about 632.6897346183.

The spelling of 253263360 in words is "two hundred fifty-three million, two hundred sixty-three thousand, three hundred sixty".