45819180 has 144 divisors (see below), whose sum is σ = 154181664. Its totient is φ = 10920960.

The previous prime is 45819173. The next prime is 45819227. The reversal of 45819180 is 8191854.

45819180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 144382 + ... + 144698.

It is an arithmetic number, because the mean of its divisors is an integer number (1070706).

It is a vampire number, since it can be written as 4818 ⋅ 9510 (with its own digits).

Almost surely, 2^45819180 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 45819180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77090832).

45819180 is an abundant number, since it is smaller than the sum of its proper divisors (108362484).

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

45819180 is a wasteful number, since it uses less digits than its factorization.

45819180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 45819180 is about 6768.9866302128. The cubic root of 45819180 is about 357.8346874681.

The spelling of 45819180 in words is "forty-five million, eight hundred nineteen thousand, one hundred eighty".