45827040 has 192 divisors, whose sum is σ = 172440576. Its totient is φ = 10002432.

The previous prime is 45827029. The next prime is 45827057. The reversal of 45827040 is 4072854.

45827040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 45826989 and 45827007.

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, 76984 + ... + 77576.

It is an arithmetic number, because the mean of its divisors is an integer number (898128).

Almost surely, 2^45827040 is an apocalyptic number.

45827040 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 45827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

45827040 is an abundant number, since it is smaller than the sum of its proper divisors (126613536).

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

45827040 is a wasteful number, since it uses less digits than its factorization.

45827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45827040 is about 6769.5671944372. The cubic root of 45827040 is about 357.8551477487.

Adding to 45827040 its reverse (4072854), we get a palindrome (49899894).

The spelling of 45827040 in words is "forty-five million, eight hundred twenty-seven thousand, forty".