253034880 has 256 divisors, whose sum is σ = 938856960. Its totient is φ = 56770560.

The previous prime is 253034861. The next prime is 253034909. The reversal of 253034880 is 88430352.

It is a super-2 number, since 2×253034880² = 128053300993228800, which contains 22 as substring.

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, 900340 + ... + 900620.

It is an arithmetic number, because the mean of its divisors is an integer number (3667410).

Almost surely, 2^253034880 is an apocalyptic number.

253034880 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 253034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469428480).

253034880 is an abundant number, since it is smaller than the sum of its proper divisors (685822080).

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

253034880 is a wasteful number, since it uses less digits than its factorization.

253034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 253034880 is about 15907.0701262049. The cubic root of 253034880 is about 632.4994183104.

The spelling of 253034880 in words is "two hundred fifty-three million, thirty-four thousand, eight hundred eighty".