256019200 has 108 divisors (see below), whose sum is σ = 641243680. Its totient is φ = 101191680.

The previous prime is 256019177. The next prime is 256019213. The reversal of 256019200 is 2910652.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697417 + ... + 697783.

Almost surely, 2^256019200 is an apocalyptic number.

256019200 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 256019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320621840).

256019200 is an abundant number, since it is smaller than the sum of its proper divisors (385224480).

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

256019200 is a wasteful number, since it uses less digits than its factorization.

256019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 256019200 is about 16000.5999887504. The cubic root of 256019200 is about 634.9762944010.

Adding to 256019200 its reverse (2910652), we get a palindrome (258929852).

The spelling of 256019200 in words is "two hundred fifty-six million, nineteen thousand, two hundred".