253487880 has 112 divisors (see below), whose sum is σ = 855228780. Its totient is φ = 67588992.

The previous prime is 253487863. The next prime is 253487887. The reversal of 253487880 is 88784352.

It can be written as a sum of positive squares in 2 ways, for example, as 223741764 + 29746116 = 14958^2 + 5454^2 .

It is a super-2 number, since 2×253487880² = 128512210613788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (253487887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24814 + ... + 33506.

Almost surely, 2^253487880 is an apocalyptic number.

253487880 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 253487880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427614390).

253487880 is an abundant number, since it is smaller than the sum of its proper divisors (601740900).

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

253487880 is an equidigital number, since it uses as much as digits as its factorization.

253487880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 253487880 is about 15921.3027105196. The cubic root of 253487880 is about 632.8766409060.

The spelling of 253487880 in words is "two hundred fifty-three million, four hundred eighty-seven thousand, eight hundred eighty".