45764432 has 80 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 18910080.

The previous prime is 45764431. The next prime is 45764443. The reversal of 45764432 is 23446754.

45764432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45764392 and 45764401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45764431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169994 + ... + 170262.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^45764432 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 45764432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

45764432 is an abundant number, since it is smaller than the sum of its proper divisors (61371568).

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

45764432 is a wasteful number, since it uses less digits than its factorization.

45764432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 45764432 is about 6764.9413892509. The cubic root of 45764432 is about 357.6921085928.

The spelling of 45764432 in words is "forty-five million, seven hundred sixty-four thousand, four hundred thirty-two".