256481600 has 84 divisors (see below), whose sum is σ = 651589248. Its totient is φ = 99264000.

The previous prime is 256481587. The next prime is 256481611. The reversal of 256481600 is 6184652.

It is a super-2 number, since 2×256481600² = 131565622277120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 47015 + ... + 52185.

Almost surely, 2^256481600 is an apocalyptic number.

256481600 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 256481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325794624).

256481600 is an abundant number, since it is smaller than the sum of its proper divisors (395107648).

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

256481600 is a wasteful number, since it uses less digits than its factorization.

256481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 256481600 is about 16015.0429284470. The cubic root of 256481600 is about 635.3583444574.

The spelling of 256481600 in words is "two hundred fifty-six million, four hundred eighty-one thousand, six hundred".