254311120 has 80 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 86326272.

The previous prime is 254311117. The next prime is 254311129. The reversal of 254311120 is 21113452.

254311120 is digitally balanced in base 2, 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254311129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55476 + ... + 59884.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^254311120 is an apocalyptic number.

254311120 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 254311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

254311120 is an abundant number, since it is smaller than the sum of its proper divisors (428145200).

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

254311120 is a wasteful number, since it uses less digits than its factorization.

254311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 254311120 is about 15947.1351659162. The cubic root of 254311120 is about 633.5610212434.

Adding to 254311120 its reverse (21113452), we get a palindrome (275424572).

The spelling of 254311120 in words is "two hundred fifty-four million, three hundred eleven thousand, one hundred twenty".