254494800 has 180 divisors, whose sum is σ = 1009434400. Its totient is φ = 58164480.

The previous prime is 254494783. The next prime is 254494813. The reversal of 254494800 is 8494452.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20151 + ... + 30249.

Almost surely, 2^254494800 is an apocalyptic number.

254494800 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 254494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504717200).

254494800 is an abundant number, since it is smaller than the sum of its proper divisors (754939600).

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

254494800 is a wasteful number, since it uses less digits than its factorization.

254494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 254494800 is about 15952.8931545347. The cubic root of 254494800 is about 633.7135175012.

It can be divided in two parts, 2544 and 94800, that added together give a square (97344 = 312²).

The spelling of 254494800 in words is "two hundred fifty-four million, four hundred ninety-four thousand, eight hundred".