45405664 has 48 divisors (see below), whose sum is σ = 91854000. Its totient is φ = 22088704.

The previous prime is 45405653. The next prime is 45405667. The reversal of 45405664 is 46650454.

45405664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45405667) 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 7 ways as a sum of consecutive naturals, for example, 304662 + ... + 304810.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 2^45405664 is an apocalyptic number.

It is an amenable number.

45405664 is an abundant number, since it is smaller than the sum of its proper divisors (46448336).

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

45405664 is a wasteful number, since it uses less digits than its factorization.

45405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 45405664 is about 6738.3725038024. The cubic root of 45405664 is about 356.7549521844.

The spelling of 45405664 in words is "forty-five million, four hundred five thousand, six hundred sixty-four".