254275840 has 288 divisors, whose sum is σ = 782933760. Its totient is φ = 76972032.

The previous prime is 254275831. The next prime is 254275843. The reversal of 254275840 is 48572452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 254275840.

It is not an unprimeable number, because it can be changed into a prime (254275843) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4309731 + ... + 4309789.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^254275840 is an apocalyptic number.

254275840 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 254275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

254275840 is an abundant number, since it is smaller than the sum of its proper divisors (528657920).

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

254275840 is a wasteful number, since it uses less digits than its factorization.

254275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 254275840 is about 15946.0289727568. The cubic root of 254275840 is about 633.5317223980.

The spelling of 254275840 in words is "two hundred fifty-four million, two hundred seventy-five thousand, eight hundred forty".