256794720 has 192 divisors, whose sum is σ = 995742720. Its totient is φ = 54171648.

The previous prime is 256794691. The next prime is 256794721. The reversal of 256794720 is 27497652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256794721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40741 + ... + 46619.

It is an arithmetic number, because the mean of its divisors is an integer number (5186160).

Almost surely, 2^256794720 is an apocalyptic number.

256794720 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 256794720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497871360).

256794720 is an abundant number, since it is smaller than the sum of its proper divisors (738948000).

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

256794720 is a wasteful number, since it uses less digits than its factorization.

256794720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 256794720 is about 16024.8157555711. The cubic root of 256794720 is about 635.6167937979.

The spelling of 256794720 in words is "two hundred fifty-six million, seven hundred ninety-four thousand, seven hundred twenty".