18456400 has 30 divisors (see below), whose sum is σ = 44342462. Its totient is φ = 7382400.

The previous prime is 18456337. The next prime is 18456409. The reversal of 18456400 is 465481.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 18455616 = 28^2 + 4296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18456409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22671 + ... + 23470.

Almost surely, 2^18456400 is an apocalyptic number.

18456400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18456400 is an abundant number, since it is smaller than the sum of its proper divisors (25886062).

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

18456400 is a wasteful number, since it uses less digits than its factorization.

18456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46159 (or 46148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 18456400 is about 4296.0912467032. The cubic root of 18456400 is about 264.2706896047.

The spelling of 18456400 in words is "eighteen million, four hundred fifty-six thousand, four hundred".