256542000 has 480 divisors, whose sum is σ = 1019506176. Its totient is φ = 54912000.

The previous prime is 256541981. The next prime is 256542017. The reversal of 256542000 is 245652.

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 95 ways as a sum of consecutive naturals, for example, 11153989 + ... + 11154011.

Almost surely, 2^256542000 is an apocalyptic number.

256542000 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 256542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509753088).

256542000 is an abundant number, since it is smaller than the sum of its proper divisors (762964176).

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

256542000 is a wasteful number, since it uses less digits than its factorization.

256542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

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

The square root of 256542000 is about 16016.9285445119. The cubic root of 256542000 is about 635.4082150030.

Adding to 256542000 its reverse (245652), we get a palindrome (256787652).

The spelling of 256542000 in words is "two hundred fifty-six million, five hundred forty-two thousand".