45345090 has 96 divisors (see below), whose sum is σ = 128208960. Its totient is φ = 10233216.

The previous prime is 45345071. The next prime is 45345101. The reversal of 45345090 is 9054354.

45345090 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 (30).

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 160089 + ... + 160371.

It is an arithmetic number, because the mean of its divisors is an integer number (1335510).

Almost surely, 2^45345090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45345090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64104480).

45345090 is an abundant number, since it is smaller than the sum of its proper divisors (82863870).

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

45345090 is a wasteful number, since it uses less digits than its factorization.

45345090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 45345090 is about 6733.8762982401. The cubic root of 45345090 is about 356.5962371003.

The spelling of 45345090 in words is "forty-five million, three hundred forty-five thousand, ninety".