254903040 has 432 divisors, whose sum is σ = 1052251200. Its totient is φ = 55738368.

The previous prime is 254903039. The next prime is 254903053. The reversal of 254903040 is 40309452.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 254902995 and 254903013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338506 + ... + 2338614.

Almost surely, 2^254903040 is an apocalyptic number.

254903040 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 254903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526125600).

254903040 is an abundant number, since it is smaller than the sum of its proper divisors (797348160).

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

254903040 is a wasteful number, since it uses less digits than its factorization.

254903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 254903040 is about 15965.6831986608. The cubic root of 254903040 is about 634.0521871546.

The spelling of 254903040 in words is "two hundred fifty-four million, nine hundred three thousand, forty".