45378450 has 72 divisors (see below), whose sum is σ = 131311908. Its totient is φ = 11168640.

The previous prime is 45378433. The next prime is 45378461. The reversal of 45378450 is 5487354.

45378450 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 6 ways, for example, as 15468489 + 29909961 = 3933^2 + 5469^2 .

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 35 ways as a sum of consecutive naturals, for example, 1972 + ... + 9728.

Almost surely, 2^45378450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45378450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65655954).

45378450 is an abundant number, since it is smaller than the sum of its proper divisors (85933458).

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

45378450 is a wasteful number, since it uses less digits than its factorization.

45378450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 45378450 is about 6736.3528708048. The cubic root of 45378450 is about 356.6836639448.

The spelling of 45378450 in words is "forty-five million, three hundred seventy-eight thousand, four hundred fifty".