18419400 has 144 divisors (see below), whose sum is σ = 64318800. Its totient is φ = 4898880.

The previous prime is 18419399. The next prime is 18419407. The reversal of 18419400 is 491481.

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

It is not an unprimeable number, because it can be changed into a prime (18419407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48411 + ... + 48789.

Almost surely, 2^18419400 is an apocalyptic number.

18419400 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 18419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

18419400 is an abundant number, since it is smaller than the sum of its proper divisors (45899400).

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

18419400 is a wasteful number, since it uses less digits than its factorization.

18419400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18419400 is about 4291.7828463239. The cubic root of 18419400 is about 264.0939748087.

The spelling of 18419400 in words is "eighteen million, four hundred nineteen thousand, four hundred".