254743040 has 80 divisors (see below), whose sum is σ = 615764160. Its totient is φ = 101068800.

The previous prime is 254743037. The next prime is 254743057. The reversal of 254743040 is 40347452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 254742994 and 254743012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 386231 + ... + 386889.

It is an arithmetic number, because the mean of its divisors is an integer number (7697052).

Almost surely, 2^254743040 is an apocalyptic number.

254743040 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 254743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307882080).

254743040 is an abundant number, since it is smaller than the sum of its proper divisors (361021120).

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

254743040 is an equidigital number, since it uses as much as digits as its factorization.

254743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 254743040 is about 15960.6716650647. The cubic root of 254743040 is about 633.9194967228.

The spelling of 254743040 in words is "two hundred fifty-four million, seven hundred forty-three thousand, forty".