256749400 has 48 divisors (see below), whose sum is σ = 597997440. Its totient is φ = 102518400.

The previous prime is 256749379. The next prime is 256749407. The reversal of 256749400 is 4947652.

It is a self number, because there is not a number n which added to its sum of digits gives 256749400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256749407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 216810 + ... + 217990.

It is an arithmetic number, because the mean of its divisors is an integer number (12458280).

Almost surely, 2^256749400 is an apocalyptic number.

256749400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256749400 is an abundant number, since it is smaller than the sum of its proper divisors (341248040).

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

256749400 is a wasteful number, since it uses less digits than its factorization.

256749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 256749400 is about 16023.4016363567. The cubic root of 256749400 is about 635.5793996647.

The spelling of 256749400 in words is "two hundred fifty-six million, seven hundred forty-nine thousand, four hundred".