253725880 has 64 divisors (see below), whose sum is σ = 603417600. Its totient is φ = 95821440.

The previous prime is 253725847. The next prime is 253725883. The reversal of 253725880 is 88527352.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253725883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70935 + ... + 74425.

It is an arithmetic number, because the mean of its divisors is an integer number (9428400).

Almost surely, 2^253725880 is an apocalyptic number.

253725880 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 253725880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301708800).

253725880 is an abundant number, since it is smaller than the sum of its proper divisors (349691720).

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

253725880 is a wasteful number, since it uses less digits than its factorization.

253725880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 253725880 is about 15928.7752197085. The cubic root of 253725880 is about 633.0746484328.

The spelling of 253725880 in words is "two hundred fifty-three million, seven hundred twenty-five thousand, eight hundred eighty".