254254120 has 64 divisors (see below), whose sum is σ = 589453200. Its totient is φ = 98641920.

The previous prime is 254254093. The next prime is 254254129. The reversal of 254254120 is 21452452.

254254120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 190605636 + 63648484 = 13806^2 + 7978^2 .

It is not an unprimeable number, because it can be changed into a prime (254254129) 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, 375222 + ... + 375898.

Almost surely, 2^254254120 is an apocalyptic number.

254254120 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 254254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294726600).

254254120 is an abundant number, since it is smaller than the sum of its proper divisors (335199080).

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

254254120 is a wasteful number, since it uses less digits than its factorization.

254254120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 254254120 is about 15945.3479109112. The cubic root of 254254120 is about 633.5136833257.

The spelling of 254254120 in words is "two hundred fifty-four million, two hundred fifty-four thousand, one hundred twenty".