254782320 has 160 divisors (see below), whose sum is σ = 858611712. Its totient is φ = 62125056.

The previous prime is 254782309. The next prime is 254782331. The reversal of 254782320 is 23287452.

It is an interprime number because it is at equal distance from previous prime (254782309) and next prime (254782331).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395919 + ... + 396561.

Almost surely, 2^254782320 is an apocalyptic number.

254782320 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 254782320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429305856).

254782320 is an abundant number, since it is smaller than the sum of its proper divisors (603829392).

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

254782320 is a wasteful number, since it uses less digits than its factorization.

254782320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 254782320 is about 15961.9021422887. The cubic root of 254782320 is about 633.9520773684.

The spelling of 254782320 in words is "two hundred fifty-four million, seven hundred eighty-two thousand, three hundred twenty".