45788000 has 48 divisors (see below), whose sum is σ = 112510944. Its totient is φ = 18313600.

The previous prime is 45787993. The next prime is 45788051. The reversal of 45788000 is 88754.

45788000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1724 + ... + 9723.

It is an arithmetic number, because the mean of its divisors is an integer number (2343978).

Almost surely, 2^45788000 is an apocalyptic number.

45788000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45788000 is an abundant number, since it is smaller than the sum of its proper divisors (66722944).

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

45788000 is a wasteful number, since it uses less digits than its factorization.

45788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 45788000 is about 6766.6830870080. The cubic root of 45788000 is about 357.7535000894.

The spelling of 45788000 in words is "forty-five million, seven hundred eighty-eight thousand".