45759060 has 96 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 12067200.

The previous prime is 45759041. The next prime is 45759073. The reversal of 45759060 is 6095754.

45759060 is a `hidden beast` number, since 4 + 5 + 7 + 590 + 60 = 666.

45759060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45759060³ (a number of 24 digits) contains 333 as substring.

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

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, 54121 + ... + 54959.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^45759060 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 45759060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

45759060 is an abundant number, since it is smaller than the sum of its proper divisors (98183340).

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

45759060 is a wasteful number, since it uses less digits than its factorization.

45759060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45759060 is about 6764.5443305518. The cubic root of 45759060 is about 357.6781122999.

The spelling of 45759060 in words is "forty-five million, seven hundred fifty-nine thousand, sixty".