254979878400 has 1920 divisors, whose sum is σ = 1108179072000. Its totient is φ = 56853135360.

The previous prime is 254979878399. The next prime is 254979878407. The reversal of 254979878400 is 4878979452.

254979878400 is a `hidden beast` number, since 2 + 54 + 97 + 98 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254979878407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2475532749 + ... + 2475532851.

It is an arithmetic number, because the mean of its divisors is an integer number (577176600).

Almost surely, 2^254979878400 is an apocalyptic number.

254979878400 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 254979878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554089536000).

254979878400 is an abundant number, since it is smaller than the sum of its proper divisors (853199193600).

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

254979878400 is a wasteful number, since it uses less digits than its factorization.

254979878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 254979878400 in words is "two hundred fifty-four billion, nine hundred seventy-nine million, eight hundred seventy-eight thousand, four hundred".