45684200 has 24 divisors (see below), whose sum is σ = 106216230. Its totient is φ = 18273600.

The previous prime is 45684179. The next prime is 45684217. The reversal of 45684200 is 248654.

45684200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35736484 + 9947716 = 5978^2 + 3154^2 .

It is a super-2 number, since 2×45684200² = 4174092259280000, which contains 22 as substring.

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, 114011 + ... + 114410.

Almost surely, 2^45684200 is an apocalyptic number.

45684200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45684200 is an abundant number, since it is smaller than the sum of its proper divisors (60532030).

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

45684200 is a wasteful number, since it uses less digits than its factorization.

45684200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228437 (or 228428 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 45684200 is about 6759.0088030716. The cubic root of 45684200 is about 357.4829567893.

The spelling of 45684200 in words is "forty-five million, six hundred eighty-four thousand, two hundred".