253426440 has 64 divisors (see below), whose sum is σ = 764328960. Its totient is φ = 67220480.

The previous prime is 253426421. The next prime is 253426493. The reversal of 253426440 is 44624352.

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

It is a junction number, because it is equal to n+sod(n) for n = 253426398 and 253426407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17392 + ... + 28448.

It is an arithmetic number, because the mean of its divisors is an integer number (11942640).

Almost surely, 2^253426440 is an apocalyptic number.

253426440 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 253426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382164480).

253426440 is an abundant number, since it is smaller than the sum of its proper divisors (510902520).

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

253426440 is a wasteful number, since it uses less digits than its factorization.

253426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 253426440 is about 15919.3731032349. The cubic root of 253426440 is about 632.8255048874.

The spelling of 253426440 in words is "two hundred fifty-three million, four hundred twenty-six thousand, four hundred forty".