256766400 has 252 divisors, whose sum is σ = 996186984. Its totient is φ = 62208000.

The previous prime is 256766381. The next prime is 256766413. The reversal of 256766400 is 4667652.

256766400 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157590 + ... + 159210.

Almost surely, 2^256766400 is an apocalyptic number.

256766400 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 256766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498093492).

256766400 is an abundant number, since it is smaller than the sum of its proper divisors (739420584).

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

256766400 is a wasteful number, since it uses less digits than its factorization.

256766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 256766400 is about 16023.9321017034. The cubic root of 256766400 is about 635.5934271059.

The spelling of 256766400 in words is "two hundred fifty-six million, seven hundred sixty-six thousand, four hundred".