256218600 has 96 divisors (see below), whose sum is σ = 866507040. Its totient is φ = 62112000.

The previous prime is 256218569. The next prime is 256218601. The reversal of 256218600 is 6812652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (256218601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12811 + ... + 26010.

It is an arithmetic number, because the mean of its divisors is an integer number (9026115).

Almost surely, 2^256218600 is an apocalyptic number.

256218600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256218600 is an abundant number, since it is smaller than the sum of its proper divisors (610288440).

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

256218600 is a wasteful number, since it uses less digits than its factorization.

256218600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38851 (or 38842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 256218600 is about 16006.8297923105. The cubic root of 256218600 is about 635.1411015928.

The spelling of 256218600 in words is "two hundred fifty-six million, two hundred eighteen thousand, six hundred".