253490720 has 192 divisors, whose sum is σ = 725760000. Its totient is φ = 83543040.

The previous prime is 253490707. The next prime is 253490729. The reversal of 253490720 is 27094352.

It is a happy number.

It is a super-2 number, since 2×253490720² = 128515090252236800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (253490729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701206 + ... + 1701354.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^253490720 is an apocalyptic number.

253490720 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 253490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880000).

253490720 is an abundant number, since it is smaller than the sum of its proper divisors (472269280).

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

253490720 is a wasteful number, since it uses less digits than its factorization.

253490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 253490720 is about 15921.3918989515. The cubic root of 253490720 is about 632.8790044153.

The spelling of 253490720 in words is "two hundred fifty-three million, four hundred ninety thousand, seven hundred twenty".