18401000 has 32 divisors (see below), whose sum is σ = 43060680. Its totient is φ = 7360000.

The previous prime is 18400981. The next prime is 18401023. The reversal of 18401000 is 10481.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4990756 + 13410244 = 2234^2 + 3662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8201 + ... + 10200.

Almost surely, 2^18401000 is an apocalyptic number.

18401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18401000 is an abundant number, since it is smaller than the sum of its proper divisors (24659680).

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

18401000 is a wasteful number, since it uses less digits than its factorization.

18401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18422 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 18401000 is about 4289.6386794228. The cubic root of 18401000 is about 264.0060069034.

Adding to 18401000 its reverse (10481), we get a palindrome (18411481).

The spelling of 18401000 in words is "eighteen million, four hundred one thousand".