254242800 has 600 divisors, whose sum is σ = 1116297600. Its totient is φ = 54120960.

The previous prime is 254242783. The next prime is 254242801. The reversal of 254242800 is 8242452.

It is a happy number.

254242800 is a `hidden beast` number, since 2 + 542 + 42 + 80 + 0 = 666.

254242800 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 (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254242801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4309171 + ... + 4309229.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 2^254242800 is an apocalyptic number.

254242800 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 254242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558148800).

254242800 is an abundant number, since it is smaller than the sum of its proper divisors (862054800).

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

254242800 is a wasteful number, since it uses less digits than its factorization.

254242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 254242800 is about 15944.9929444951. The cubic root of 254242800 is about 633.5042813393.

It can be divided in two parts, 25424 and 2800, that added together give a square (28224 = 168²).

The spelling of 254242800 in words is "two hundred fifty-four million, two hundred forty-two thousand, eight hundred".