45704100 has 72 divisors (see below), whose sum is σ = 142421440. Its totient is φ = 11249280.

The previous prime is 45704083. The next prime is 45704161. The reversal of 45704100 is 140754.

45704100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1960 + ... + 9759.

Almost surely, 2^45704100 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 45704100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71210720).

45704100 is an abundant number, since it is smaller than the sum of its proper divisors (96717340).

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

45704100 is a wasteful number, since it uses less digits than its factorization.

45704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11749 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 45704100 is about 6760.4807521359. The cubic root of 45704100 is about 357.5348556818.

Adding to 45704100 its reverse (140754), we get a palindrome (45844854).

The spelling of 45704100 in words is "forty-five million, seven hundred four thousand, one hundred".