253199880 has 96 divisors (see below), whose sum is σ = 845184600. Its totient is φ = 65691648.

The previous prime is 253199873. The next prime is 253199911. The reversal of 253199880 is 88991352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 252619236 + 580644 = 15894^2 + 762^2 .

It is a super-2 number, since 2×253199880² = 128220358464028800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3816 + ... + 22824.

Almost surely, 2^253199880 is an apocalyptic number.

253199880 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 253199880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422592300).

253199880 is an abundant number, since it is smaller than the sum of its proper divisors (591984720).

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

253199880 is a wasteful number, since it uses less digits than its factorization.

253199880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19063 (or 19056 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 253199880 is about 15912.2556540548. The cubic root of 253199880 is about 632.6368693579.

The spelling of 253199880 in words is "two hundred fifty-three million, one hundred ninety-nine thousand, eight hundred eighty".