45852480 has 280 divisors, whose sum is σ = 171495720. Its totient is φ = 11612160.

The previous prime is 45852479. The next prime is 45852487. The reversal of 45852480 is 8425854.

45852480 is a `hidden beast` number, since 4 + 58 + 524 + 80 = 666.

45852480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 45805824 = 216^2 + 6768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45852487) 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 39 ways as a sum of consecutive naturals, for example, 751650 + ... + 751710.

Almost surely, 2^45852480 is an apocalyptic number.

45852480 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 45852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85747860).

45852480 is an abundant number, since it is smaller than the sum of its proper divisors (125643240).

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

45852480 is a wasteful number, since it uses less digits than its factorization.

45852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45852480 is about 6771.4459312617. The cubic root of 45852480 is about 357.9213543003.

The spelling of 45852480 in words is "forty-five million, eight hundred fifty-two thousand, four hundred eighty".