253000440 has 192 divisors, whose sum is σ = 1025256960. Its totient is φ = 52565760.

The previous prime is 253000427. The next prime is 253000459. The reversal of 253000440 is 44000352.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23157 + ... + 32283.

It is an arithmetic number, because the mean of its divisors is an integer number (5339880).

Almost surely, 2^253000440 is an apocalyptic number.

253000440 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 253000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512628480).

253000440 is an abundant number, since it is smaller than the sum of its proper divisors (772256520).

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

253000440 is a wasteful number, since it uses less digits than its factorization.

253000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9155 counting only the distinct ones).

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

The square root of 253000440 is about 15905.9875518623. The cubic root of 253000440 is about 632.4707209910.

Adding to 253000440 its reverse (44000352), we get a palindrome (297000792).

The spelling of 253000440 in words is "two hundred fifty-three million, four hundred forty", and thus it is an aban number.