254431320 has 128 divisors (see below), whose sum is σ = 896797440. Its totient is φ = 56931840.

The previous prime is 254431283. The next prime is 254431327. The reversal of 254431320 is 23134452.

254431320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254431327) 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, 9747 + ... + 24573.

It is an arithmetic number, because the mean of its divisors is an integer number (7006230).

Almost surely, 2^254431320 is an apocalyptic number.

254431320 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 254431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448398720).

254431320 is an abundant number, since it is smaller than the sum of its proper divisors (642366120).

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

254431320 is a wasteful number, since it uses less digits than its factorization.

254431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14865 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 254431320 is about 15950.9034226905. The cubic root of 254431320 is about 633.6608229349.

Adding to 254431320 its reverse (23134452), we get a palindrome (277565772).

The spelling of 254431320 in words is "two hundred fifty-four million, four hundred thirty-one thousand, three hundred twenty".