253271040 has 176 divisors, whose sum is σ = 884304000. Its totient is φ = 61358080.

The previous prime is 253271021. The next prime is 253271069. The reversal of 253271040 is 40172352.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 253271040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168211 + ... + 169709.

Almost surely, 2^253271040 is an apocalyptic number.

253271040 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 253271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152000).

253271040 is an abundant number, since it is smaller than the sum of its proper divisors (631032960).

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

253271040 is a wasteful number, since it uses less digits than its factorization.

253271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 253271040 is about 15914.4915093131. The cubic root of 253271040 is about 632.6961298163.

The spelling of 253271040 in words is "two hundred fifty-three million, two hundred seventy-one thousand, forty".