45876300 has 72 divisors (see below), whose sum is σ = 136355856. Its totient is φ = 11900160.

The previous prime is 45876223. The next prime is 45876301. The reversal of 45876300 is 367854.

It is not an unprimeable number, because it can be changed into a prime (45876301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9034 + ... + 13166.

Almost surely, 2^45876300 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 45876300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68177928).

45876300 is an abundant number, since it is smaller than the sum of its proper divisors (90479556).

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

45876300 is a wasteful number, since it uses less digits than its factorization.

45876300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45876300 is about 6773.2045591433. The cubic root of 45876300 is about 357.9833226733.

The spelling of 45876300 in words is "forty-five million, eight hundred seventy-six thousand, three hundred".