256425180 has 192 divisors, whose sum is σ = 823689216. Its totient is φ = 59040000.

The previous prime is 256425131. The next prime is 256425181. The reversal of 256425180 is 81524652.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256425181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1698105 + ... + 1698255.

It is an arithmetic number, because the mean of its divisors is an integer number (4290048).

Almost surely, 2^256425180 is an apocalyptic number.

256425180 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 256425180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411844608).

256425180 is an abundant number, since it is smaller than the sum of its proper divisors (567264036).

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

256425180 is a wasteful number, since it uses less digits than its factorization.

256425180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 256425180 is about 16013.2813626689. The cubic root of 256425180 is about 635.3117530104.

The spelling of 256425180 in words is "two hundred fifty-six million, four hundred twenty-five thousand, one hundred eighty".