45730400 has 36 divisors (see below), whose sum is σ = 111641292. Its totient is φ = 18291840.

The previous prime is 45730367. The next prime is 45730403. The reversal of 45730400 is 403754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45730403) 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, 27782 + ... + 29381.

It is an arithmetic number, because the mean of its divisors is an integer number (3101147).

Almost surely, 2^45730400 is an apocalyptic number.

45730400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45730400 is an abundant number, since it is smaller than the sum of its proper divisors (65910892).

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

45730400 is a wasteful number, since it uses less digits than its factorization.

45730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57183 (or 57170 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 45730400 is about 6762.4256003301. The cubic root of 45730400 is about 357.6034225692.

The spelling of 45730400 in words is "forty-five million, seven hundred thirty thousand, four hundred".