253233420 has 96 divisors (see below), whose sum is σ = 798529536. Its totient is φ = 59404800.

The previous prime is 253233413. The next prime is 253233433. The reversal of 253233420 is 24332352.

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, 14272 + ... + 26648.

It is an arithmetic number, because the mean of its divisors is an integer number (8318016).

Almost surely, 2^253233420 is an apocalyptic number.

253233420 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 253233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399264768).

253233420 is an abundant number, since it is smaller than the sum of its proper divisors (545296116).

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

253233420 is a wasteful number, since it uses less digits than its factorization.

253233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 253233420 is about 15913.3095237917. The cubic root of 253233420 is about 632.6648021038.

Adding to 253233420 its reverse (24332352), we get a palindrome (277565772).

The spelling of 253233420 in words is "two hundred fifty-three million, two hundred thirty-three thousand, four hundred twenty".