18401256 has 80 divisors (see below), whose sum is σ = 52380900. Its totient is φ = 6034176.

The previous prime is 18401221. The next prime is 18401261. The reversal of 18401256 is 65210481.

18401256 is a `hidden beast` number, since 1 + 8 + 401 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18198756 + 202500 = 4266^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47110 + ... + 47498.

Almost surely, 2^18401256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18401256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26190450).

18401256 is an abundant number, since it is smaller than the sum of its proper divisors (33979644).

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

18401256 is a wasteful number, since it uses less digits than its factorization.

18401256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18401256 is about 4289.6685186620. The cubic root of 18401256 is about 264.0072312069.

18401256 divided by its sum of digits (27) gives a triangular number (681528 = T₁₁₆₇).

The spelling of 18401256 in words is "eighteen million, four hundred one thousand, two hundred fifty-six".