45459920 has 40 divisors (see below), whose sum is σ = 115305120. Its totient is φ = 16530560.

The previous prime is 45459889. The next prime is 45459929. The reversal of 45459920 is 2995454.

45459920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45459929) 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, 24950 + ... + 26709.

It is an arithmetic number, because the mean of its divisors is an integer number (2882628).

Almost surely, 2^45459920 is an apocalyptic number.

45459920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45459920 is an abundant number, since it is smaller than the sum of its proper divisors (69845200).

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

45459920 is a wasteful number, since it uses less digits than its factorization.

45459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51683 (or 51677 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 45459920 is about 6742.3971998096. The cubic root of 45459920 is about 356.8969931432.

The spelling of 45459920 in words is "forty-five million, four hundred fifty-nine thousand, nine hundred twenty".