253440000 has 390 divisors, whose sum is σ = 997958676. Its totient is φ = 61440000.

The previous prime is 253439957. The next prime is 253440041. The reversal of 253440000 is 44352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039995 + ... + 23040005.

Almost surely, 2^253440000 is an apocalyptic number.

253440000 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 253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498979338).

253440000 is an abundant number, since it is smaller than the sum of its proper divisors (744518676).

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

253440000 is an equidigital number, since it uses as much as digits as its factorization.

253440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 253440000 is about 15919.7989937059. The cubic root of 253440000 is about 632.8367914772.

Adding to 253440000 its reverse (44352), we get a palindrome (253484352).

The spelling of 253440000 in words is "two hundred fifty-three million, four hundred forty thousand".