254904840 has 128 divisors (see below), whose sum is σ = 872784000. Its totient is φ = 66127104.

The previous prime is 254904827. The next prime is 254904857. The reversal of 254904840 is 48409452.

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

It is a junction number, because it is equal to n+sod(n) for n = 254904795 and 254904804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36771 + ... + 43149.

It is an arithmetic number, because the mean of its divisors is an integer number (6818625).

Almost surely, 2^254904840 is an apocalyptic number.

254904840 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 254904840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436392000).

254904840 is an abundant number, since it is smaller than the sum of its proper divisors (617879160).

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

254904840 is a wasteful number, since it uses less digits than its factorization.

254904840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6426 counting only the distinct ones).

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

The square root of 254904840 is about 15965.7395694656. The cubic root of 254904840 is about 634.0536796061.

The spelling of 254904840 in words is "two hundred fifty-four million, nine hundred four thousand, eight hundred forty".