253421040 has 160 divisors (see below), whose sum is σ = 838874880. Its totient is φ = 63066112.

The previous prime is 253421017. The next prime is 253421087. The reversal of 253421040 is 40124352.

It is a junction number, because it is equal to n+sod(n) for n = 253420998 and 253421016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730147 + ... + 730493.

It is an arithmetic number, because the mean of its divisors is an integer number (5242968).

Almost surely, 2^253421040 is an apocalyptic number.

253421040 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 253421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419437440).

253421040 is an abundant number, since it is smaller than the sum of its proper divisors (585453840).

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

253421040 is a wasteful number, since it uses less digits than its factorization.

253421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 253421040 is about 15919.2034976628. The cubic root of 253421040 is about 632.8210101157.

Adding to 253421040 its reverse (40124352), we get a palindrome (293545392).

The spelling of 253421040 in words is "two hundred fifty-three million, four hundred twenty-one thousand, forty".