45381060 has 120 divisors (see below), whose sum is σ = 144227160. Its totient is φ = 11943936.

The previous prime is 45381059. The next prime is 45381071. The reversal of 45381060 is 6018354.

45381060 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 21233664 + 24147396 = 4608^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 176452 + ... + 176708.

It is an arithmetic number, because the mean of its divisors is an integer number (1201893).

Almost surely, 2^45381060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45381060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72113580).

45381060 is an abundant number, since it is smaller than the sum of its proper divisors (98846100).

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

45381060 is a wasteful number, since it uses less digits than its factorization.

45381060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45381060 is about 6736.5465930252. The cubic root of 45381060 is about 356.6905021871.

The spelling of 45381060 in words is "forty-five million, three hundred eighty-one thousand, sixty".