253530840 has 128 divisors (see below), whose sum is σ = 802690560. Its totient is φ = 63934464.

The previous prime is 253530811. The next prime is 253530899. The reversal of 253530840 is 48035352.

253530840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253530840² = 128555773662211200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 253530798 and 253530807.

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, 267247 + ... + 268193.

It is an arithmetic number, because the mean of its divisors is an integer number (6271020).

Almost surely, 2^253530840 is an apocalyptic number.

253530840 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 253530840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401345280).

253530840 is an abundant number, since it is smaller than the sum of its proper divisors (549159720).

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

253530840 is a wasteful number, since it uses less digits than its factorization.

253530840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 253530840 is about 15922.6517891964. The cubic root of 253530840 is about 632.9123912605.

The spelling of 253530840 in words is "two hundred fifty-three million, five hundred thirty thousand, eight hundred forty".