45334080 has 336 divisors, whose sum is σ = 179734464. Its totient is φ = 10782720.

The previous prime is 45334067. The next prime is 45334109. The reversal of 45334080 is 8043354.

It is a happy number.

45334080 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 (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 47 ways as a sum of consecutive naturals, for example, 855334 + ... + 855386.

It is an arithmetic number, because the mean of its divisors is an integer number (534924).

Almost surely, 2^45334080 is an apocalyptic number.

45334080 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 45334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

45334080 is an abundant number, since it is smaller than the sum of its proper divisors (134400384).

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

45334080 is a wasteful number, since it uses less digits than its factorization.

45334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45334080 is about 6733.0587402755. The cubic root of 45334080 is about 356.5673736859.

The spelling of 45334080 in words is "forty-five million, three hundred thirty-four thousand, eighty".