45859440 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 10716160.

The previous prime is 45859417. The next prime is 45859441. The reversal of 45859440 is 4495854.

45859440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45859440² = 4206176474227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45859441) 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 31 ways as a sum of consecutive naturals, for example, 76261 + ... + 76859.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^45859440 is an apocalyptic number.

45859440 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 45859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

45859440 is an abundant number, since it is smaller than the sum of its proper divisors (114844560).

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

45859440 is a wasteful number, since it uses less digits than its factorization.

45859440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 45859440 is about 6771.9598344940. The cubic root of 45859440 is about 357.9394631470.

The spelling of 45859440 in words is "forty-five million, eight hundred fifty-nine thousand, four hundred forty".