256032000 has 432 divisors, whose sum is σ = 1061179392. Its totient is φ = 58060800.

The previous prime is 256031999. The next prime is 256032013. The reversal of 256032000 is 230652.

It is a Cunningham number, because it is equal to 16001²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015937 + ... + 2016063.

Almost surely, 2^256032000 is an apocalyptic number.

256032000 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 256032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530589696).

256032000 is an abundant number, since it is smaller than the sum of its proper divisors (805147392).

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

256032000 is a wasteful number, since it uses less digits than its factorization.

256032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 256032000 is about 16000.9999687520. Note that the first 4 decimals coincide. The cubic root of 256032000 is about 634.9868763692.

Adding to 256032000 its reverse (230652), we get a palindrome (256262652).

The spelling of 256032000 in words is "two hundred fifty-six million, thirty-two thousand".