253209240 has 160 divisors (see below), whose sum is σ = 878866560. Its totient is φ = 65318400.

The previous prime is 253209233. The next prime is 253209263. The reversal of 253209240 is 42902352.

253209240 is a `hidden beast` number, since 2 + 532 + 0 + 92 + 40 = 666.

It is a super-2 number, since 2×253209240² = 128229838442755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99180 + ... + 101700.

It is an arithmetic number, because the mean of its divisors is an integer number (5492916).

Almost surely, 2^253209240 is an apocalyptic number.

253209240 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 253209240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439433280).

253209240 is an abundant number, since it is smaller than the sum of its proper divisors (625657320).

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

253209240 is a wasteful number, since it uses less digits than its factorization.

253209240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2562 counting only the distinct ones).

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

The square root of 253209240 is about 15912.5497642584. The cubic root of 253209240 is about 632.6446647909.

The spelling of 253209240 in words is "two hundred fifty-three million, two hundred nine thousand, two hundred forty".