254112320 has 112 divisors (see below), whose sum is σ = 754489728. Its totient is φ = 79196160.

The previous prime is 254112319. The next prime is 254112347. The reversal of 254112320 is 23211452.

254112320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 254112292 and 254112301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19484 + ... + 29796.

Almost surely, 2^254112320 is an apocalyptic number.

254112320 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 254112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377244864).

254112320 is an abundant number, since it is smaller than the sum of its proper divisors (500377408).

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

254112320 is a wasteful number, since it uses less digits than its factorization.

254112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 254112320 is about 15940.9008528376. The cubic root of 254112320 is about 633.3958891734.

Adding to 254112320 its reverse (23211452), we get a palindrome (277323772).

The spelling of 254112320 in words is "two hundred fifty-four million, one hundred twelve thousand, three hundred twenty".