18282400 has 36 divisors (see below), whose sum is σ = 44633862. Its totient is φ = 7312640.

The previous prime is 18282391. The next prime is 18282413. The reversal of 18282400 is 428281.

It can be written as a sum of positive squares in 3 ways, for example, as 10419984 + 7862416 = 3228^2 + 2804^2 .

It is a super-2 number, since 2×18282400² = 668492299520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 10627 + ... + 12226.

Almost surely, 2^18282400 is an apocalyptic number.

18282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18282400 is an abundant number, since it is smaller than the sum of its proper divisors (26351462).

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

18282400 is a wasteful number, since it uses less digits than its factorization.

18282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22873 (or 22860 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 18282400 is about 4275.7923242365. The cubic root of 18282400 is about 263.4375844592.

The spelling of 18282400 in words is "eighteen million, two hundred eighty-two thousand, four hundred".