253442420 has 96 divisors (see below), whose sum is σ = 667699200. Its totient is φ = 78503040.

The previous prime is 253442417. The next prime is 253442429. The reversal of 253442420 is 24244352.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 253442420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253442429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306047 + ... + 306873.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2^253442420 is an apocalyptic number.

253442420 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 253442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333849600).

253442420 is an abundant number, since it is smaller than the sum of its proper divisors (414256780).

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

253442420 is a wasteful number, since it uses less digits than its factorization.

253442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 253442420 is about 15919.8749995093. The cubic root of 253442420 is about 632.8388057083.

Adding to 253442420 its reverse (24244352), we get a palindrome (277686772).

The spelling of 253442420 in words is "two hundred fifty-three million, four hundred forty-two thousand, four hundred twenty".