45891300 has 216 divisors, whose sum is σ = 167503168. Its totient is φ = 9446400.

The previous prime is 45891299. The next prime is 45891319. The reversal of 45891300 is 319854.

It is a super-2 number, since 2×45891300² = 4212022831380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1119280 + ... + 1119320.

Almost surely, 2^45891300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45891300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83751584).

45891300 is an abundant number, since it is smaller than the sum of its proper divisors (121611868).

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

45891300 is a wasteful number, since it uses less digits than its factorization.

45891300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 45891300 is about 6774.3117731619. The cubic root of 45891300 is about 358.0223345720.

The spelling of 45891300 in words is "forty-five million, eight hundred ninety-one thousand, three hundred".