18460400 has 120 divisors (see below), whose sum is σ = 53508480. Its totient is φ = 5978880.

The previous prime is 18460399. The next prime is 18460417. The reversal of 18460400 is 406481.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53027 + ... + 53373.

It is an arithmetic number, because the mean of its divisors is an integer number (445904).

Almost surely, 2^18460400 is an apocalyptic number.

18460400 is a gapful number since it is divisible by the number (10) 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 18460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26754240).

18460400 is an abundant number, since it is smaller than the sum of its proper divisors (35048080).

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

18460400 is a wasteful number, since it uses less digits than its factorization.

18460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 18460400 is about 4296.5567609424. The cubic root of 18460400 is about 264.2897797559.

Adding to 18460400 its reverse (406481), we get a palindrome (18866881).

The spelling of 18460400 in words is "eighteen million, four hundred sixty thousand, four hundred".