256980700 has 72 divisors (see below), whose sum is σ = 606072320. Its totient is φ = 94219200.

The previous prime is 256980677. The next prime is 256980707. The reversal of 256980700 is 7089652.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256980700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256980707) 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, 56719 + ... + 61081.

Almost surely, 2^256980700 is an apocalyptic number.

256980700 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 256980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303036160).

256980700 is an abundant number, since it is smaller than the sum of its proper divisors (349091620).

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

256980700 is a wasteful number, since it uses less digits than its factorization.

256980700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 256980700 is about 16030.6175801184. The cubic root of 256980700 is about 635.7702023064.

The spelling of 256980700 in words is "two hundred fifty-six million, nine hundred eighty thousand, seven hundred".