45977300 has 36 divisors (see below), whose sum is σ = 100214940. Its totient is φ = 18309120.

The previous prime is 45977263. The next prime is 45977303. The reversal of 45977300 is 377954.

It can be written as a sum of positive squares in 6 ways, for example, as 9156676 + 36820624 = 3026^2 + 6068^2 .

It is a super-2 number, since 2×45977300² = 4227824230580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45977303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24806 + ... + 26594.

Almost surely, 2^45977300 is an apocalyptic number.

It is an amenable number.

45977300 is an abundant number, since it is smaller than the sum of its proper divisors (54237640).

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

45977300 is a wasteful number, since it uses less digits than its factorization.

45977300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 45977300 is about 6780.6563104172. The cubic root of 45977300 is about 358.2458388629.

The spelling of 45977300 in words is "forty-five million, nine hundred seventy-seven thousand, three hundred".