254142800 has 60 divisors (see below), whose sum is σ = 612672096. Its totient is φ = 101308800.

The previous prime is 254142797. The next prime is 254142817. The reversal of 254142800 is 8241452.

It is a happy number.

254142800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 254142800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137885 + ... + 139715.

Almost surely, 2^254142800 is an apocalyptic number.

254142800 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 254142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306336048).

254142800 is an abundant number, since it is smaller than the sum of its proper divisors (358529296).

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

254142800 is a wasteful number, since it uses less digits than its factorization.

254142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 254142800 is about 15941.8568554607. The cubic root of 254142800 is about 633.4212127978.

The spelling of 254142800 in words is "two hundred fifty-four million, one hundred forty-two thousand, eight hundred".