253225420 has 48 divisors (see below), whose sum is σ = 610541568. Its totient is φ = 86420160.

The previous prime is 253225417. The next prime is 253225433. The reversal of 253225420 is 24522352.

It is a happy number.

It is a super-2 number, since 2×253225420² = 128246226668352800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27165 + ... + 35275.

It is an arithmetic number, because the mean of its divisors is an integer number (12719616).

Almost surely, 2^253225420 is an apocalyptic number.

253225420 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 253225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305270784).

253225420 is an abundant number, since it is smaller than the sum of its proper divisors (357316148).

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

253225420 is a wasteful number, since it uses less digits than its factorization.

253225420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 253225420 is about 15913.0581598887. The cubic root of 253225420 is about 632.6581397766.

Adding to 253225420 its reverse (24522352), we get a palindrome (277747772).

The spelling of 253225420 in words is "two hundred fifty-three million, two hundred twenty-five thousand, four hundred twenty".