256219392 has 144 divisors (see below), whose sum is σ = 801476928. Its totient is φ = 71639040.

The previous prime is 256219387. The next prime is 256219409. The reversal of 256219392 is 293912652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 256219392.

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 15 ways as a sum of consecutive naturals, for example, 108658 + ... + 110990.

It is an arithmetic number, because the mean of its divisors is an integer number (5565812).

Almost surely, 2^256219392 is an apocalyptic number.

256219392 is a gapful number since it is divisible by the number (22) 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 256219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400738464).

256219392 is an abundant number, since it is smaller than the sum of its proper divisors (545257536).

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

256219392 is a wasteful number, since it uses less digits than its factorization.

256219392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2362 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 256219392 is about 16006.8545317311. The cubic root of 256219392 is about 635.1417560226.

The spelling of 256219392 in words is "two hundred fifty-six million, two hundred nineteen thousand, three hundred ninety-two".