256456200 has 576 divisors, whose sum is σ = 1104304320. Its totient is φ = 48384000.

The previous prime is 256456177. The next prime is 256456217. The reversal of 256456200 is 2654652.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4204170 + ... + 4204230.

It is an arithmetic number, because the mean of its divisors is an integer number (1917195).

Almost surely, 2^256456200 is an apocalyptic number.

256456200 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 256456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552152160).

256456200 is an abundant number, since it is smaller than the sum of its proper divisors (847848120).

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

256456200 is a wasteful number, since it uses less digits than its factorization.

256456200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 256456200 is about 16014.2499043820. The cubic root of 256456200 is about 635.3373700682.

The spelling of 256456200 in words is "two hundred fifty-six million, four hundred fifty-six thousand, two hundred".