253225920 has 112 divisors (see below), whose sum is σ = 846368640. Its totient is φ = 63968256.

The previous prime is 253225913. The next prime is 253225927. The reversal of 253225920 is 29522352.

It is an interprime number because it is at equal distance from previous prime (253225913) and next prime (253225927).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253225927) 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, 11299 + ... + 25181.

Almost surely, 2^253225920 is an apocalyptic number.

253225920 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 253225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423184320).

253225920 is an abundant number, since it is smaller than the sum of its proper divisors (593142720).

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

253225920 is a wasteful number, since it uses less digits than its factorization.

253225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13922 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 253225920 is about 15913.0738702490. The cubic root of 253225920 is about 632.6585561762.

The spelling of 253225920 in words is "two hundred fifty-three million, two hundred twenty-five thousand, nine hundred twenty".