254945340 has 192 divisors, whose sum is σ = 891878400. Its totient is φ = 59989248.

The previous prime is 254945329. The next prime is 254945347. The reversal of 254945340 is 43549452.

It is a happy number.

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 = 254945295 and 254945304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254945347) 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 63 ways as a sum of consecutive naturals, for example, 160671 + ... + 162249.

It is an arithmetic number, because the mean of its divisors is an integer number (4645200).

Almost surely, 2^254945340 is an apocalyptic number.

254945340 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 254945340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445939200).

254945340 is an abundant number, since it is smaller than the sum of its proper divisors (636933060).

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

254945340 is a wasteful number, since it uses less digits than its factorization.

254945340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 254945340 is about 15967.0078599592. The cubic root of 254945340 is about 634.0872579068.

The spelling of 254945340 in words is "two hundred fifty-four million, nine hundred forty-five thousand, three hundred forty".