45035280 has 60 divisors (see below), whose sum is σ = 151245900. Its totient is φ = 12009216.

The previous prime is 45035273. The next prime is 45035303. The reversal of 45035280 is 8253054.

45035280 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 2 ways, for example, as 34999056 + 10036224 = 5916^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 30555 + ... + 31994.

It is an arithmetic number, because the mean of its divisors is an integer number (2520765).

Almost surely, 2^45035280 is an apocalyptic number.

45035280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45035280 is an abundant number, since it is smaller than the sum of its proper divisors (106210620).

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

45035280 is a wasteful number, since it uses less digits than its factorization.

45035280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62568 (or 62559 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45035280 is about 6710.8330332381. The cubic root of 45035280 is about 355.7822596461.

The spelling of 45035280 in words is "forty-five million, thirty-five thousand, two hundred eighty".