45765904 has 40 divisors (see below), whose sum is σ = 94781880. Its totient is φ = 21331968.

The previous prime is 45765899. The next prime is 45765913. The reversal of 45765904 is 40956754.

45765904 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 45589504 = 420^2 + 6752^2 .

45765904 is an undulating number in base 15.

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 7 ways as a sum of consecutive naturals, for example, 29992 + ... + 31480.

It is an arithmetic number, because the mean of its divisors is an integer number (2369547).

Almost surely, 2^45765904 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 45765904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47390940).

45765904 is an abundant number, since it is smaller than the sum of its proper divisors (49015976).

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

45765904 is a wasteful number, since it uses less digits than its factorization.

45765904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 45765904 is about 6765.0501845884. The cubic root of 45765904 is about 357.6959435735.

The spelling of 45765904 in words is "forty-five million, seven hundred sixty-five thousand, nine hundred four".