254953890 has 48 divisors (see below), whose sum is σ = 666888768. Its totient is φ = 67576608.

The previous prime is 254953883. The next prime is 254953973. The reversal of 254953890 is 98359452.

254953890 is a `hidden beast` number, since 25 + 4 + 9 + 538 + 90 = 666.

It is a super-2 number, since 2×254953890² = 130002972052264200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6549 + ... + 23511.

It is an arithmetic number, because the mean of its divisors is an integer number (13893516).

Almost surely, 2^254953890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254953890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333444384).

254953890 is an abundant number, since it is smaller than the sum of its proper divisors (411934878).

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

254953890 is a wasteful number, since it uses less digits than its factorization.

254953890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 254953890 is about 15967.2755972959. The cubic root of 254953890 is about 634.0943462046.

The spelling of 254953890 in words is "two hundred fifty-four million, nine hundred fifty-three thousand, eight hundred ninety".