253490800 has 60 divisors (see below), whose sum is σ = 611003800. Its totient is φ = 101064960.

The previous prime is 253490773. The next prime is 253490801. The reversal of 253490800 is 8094352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253490801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148351 + ... + 150049.

Almost surely, 2^253490800 is an apocalyptic number.

253490800 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 253490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305501900).

253490800 is an abundant number, since it is smaller than the sum of its proper divisors (357513000).

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

253490800 is a wasteful number, since it uses less digits than its factorization.

253490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 253490800 is about 15921.3944112945. The cubic root of 253490800 is about 632.8790709928.

The spelling of 253490800 in words is "two hundred fifty-three million, four hundred ninety thousand, eight hundred".