256452000 has 384 divisors, whose sum is σ = 996323328. Its totient is φ = 56448000.

The previous prime is 256451999. The next prime is 256452013. The reversal of 256452000 is 254652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611965 + ... + 3612035.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2^256452000 is an apocalyptic number.

256452000 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 256452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498161664).

256452000 is an abundant number, since it is smaller than the sum of its proper divisors (739871328).

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

256452000 is a wasteful number, since it uses less digits than its factorization.

256452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 256452000 is about 16014.1187706349. The cubic root of 256452000 is about 635.3339017287. Note that the first 3 decimals are identical.

The spelling of 256452000 in words is "two hundred fifty-six million, four hundred fifty-two thousand".