256433100 has 288 divisors, whose sum is σ = 980937216. Its totient is φ = 50073600.

The previous prime is 256433087. The next prime is 256433143. The reversal of 256433100 is 1334652.

It is a happy number.

It is a super-2 number, since 2×256433100² = 131515869551220000, which contains 22 as substring.

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, 392374 + ... + 393026.

It is an arithmetic number, because the mean of its divisors is an integer number (3406032).

Almost surely, 2^256433100 is an apocalyptic number.

256433100 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 256433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490468608).

256433100 is an abundant number, since it is smaller than the sum of its proper divisors (724504116).

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

256433100 is a wasteful number, since it uses less digits than its factorization.

256433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 256433100 is about 16013.5286554838. The cubic root of 256433100 is about 635.3182937322.

Adding to 256433100 its reverse (1334652), we get a palindrome (257767752).

The spelling of 256433100 in words is "two hundred fifty-six million, four hundred thirty-three thousand, one hundred".