45685440 has 168 divisors, whose sum is σ = 162854640. Its totient is φ = 11741184.

The previous prime is 45685427. The next prime is 45685459. The reversal of 45685440 is 4458654.

45685440 is a `hidden beast` number, since 4 + 568 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45685395 and 45685404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83247 + ... + 83793.

Almost surely, 2^45685440 is an apocalyptic number.

45685440 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 45685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81427320).

45685440 is an abundant number, since it is smaller than the sum of its proper divisors (117169200).

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

45685440 is a wasteful number, since it uses less digits than its factorization.

45685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45685440 is about 6759.1005318755. The cubic root of 45685440 is about 357.4861911304.

The spelling of 45685440 in words is "forty-five million, six hundred eighty-five thousand, four hundred forty".