45839520 has 192 divisors, whose sum is σ = 163658880. Its totient is φ = 12130560.

The previous prime is 45839503. The next prime is 45839543. The reversal of 45839520 is 2593854.

45839520 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 349855 + ... + 349985.

It is an arithmetic number, because the mean of its divisors is an integer number (852390).

Almost surely, 2^45839520 is an apocalyptic number.

45839520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81829440).

45839520 is an abundant number, since it is smaller than the sum of its proper divisors (117819360).

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

45839520 is an equidigital number, since it uses as much as digits as its factorization.

45839520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45839520 is about 6770.4889040600. The cubic root of 45839520 is about 357.8876294952.

The spelling of 45839520 in words is "forty-five million, eight hundred thirty-nine thousand, five hundred twenty".