45784864 has 24 divisors (see below), whose sum is σ = 92340108. Its totient is φ = 22333440.

The previous prime is 45784853. The next prime is 45784867. The reversal of 45784864 is 46848754.

45784864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32035600 + 13749264 = 5660^2 + 3708^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45784867) 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 3 ways as a sum of consecutive naturals, for example, 16137 + ... + 18760.

Almost surely, 2^45784864 is an apocalyptic number.

It is an amenable number.

45784864 is an abundant number, since it is smaller than the sum of its proper divisors (46555244).

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

45784864 is a wasteful number, since it uses less digits than its factorization.

45784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34948 (or 34940 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The square root of 45784864 is about 6766.4513594646. The cubic root of 45784864 is about 357.7453324429.

The spelling of 45784864 in words is "forty-five million, seven hundred eighty-four thousand, eight hundred sixty-four".