45834500 has 72 divisors (see below), whose sum is σ = 104624520. Its totient is φ = 17539200.

The previous prime is 45834497. The next prime is 45834511. The reversal of 45834500 is 543854.

It can be written as a sum of positive squares in 12 ways, for example, as 26894596 + 18939904 = 5186^2 + 4352^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420446 + ... + 420554.

Almost surely, 2^45834500 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 45834500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52312260).

45834500 is an abundant number, since it is smaller than the sum of its proper divisors (58790020).

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

45834500 is a wasteful number, since it uses less digits than its factorization.

45834500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 45834500 is about 6770.1181673587. The cubic root of 45834500 is about 357.8745646298.

The spelling of 45834500 in words is "forty-five million, eight hundred thirty-four thousand, five hundred".