254904829920 has 576 divisors, whose sum is σ = 1044108636480. Its totient is φ = 55945396224.

The previous prime is 254904829877. The next prime is 254904829969. The reversal of 254904829920 is 29928409452.

It is a happy number.

254904829920 is a `hidden beast` number, since 2 + 5 + 490 + 48 + 2 + 99 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6025482 + ... + 6067638.

It is an arithmetic number, because the mean of its divisors is an integer number (1812688605).

Almost surely, 2^254904829920 is an apocalyptic number.

254904829920 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 254904829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522054318240).

254904829920 is an abundant number, since it is smaller than the sum of its proper divisors (789203806560).

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

254904829920 is a wasteful number, since it uses less digits than its factorization.

254904829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42227 (or 42216 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 254904829920 in words is "two hundred fifty-four billion, nine hundred four million, eight hundred twenty-nine thousand, nine hundred twenty".