45204068 has 72 divisors (see below), whose sum is σ = 100615032. Its totient is φ = 17611776.

The previous prime is 45204053. The next prime is 45204101. The reversal of 45204068 is 86040254.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 42745444 = 1568^2 + 6538^2 .

45204068 is a modest number, since divided by 4068 gives 452 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 45204068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287846 + ... + 288002.

It is an arithmetic number, because the mean of its divisors is an integer number (1397431).

Almost surely, 2^45204068 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 45204068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50307516).

45204068 is an abundant number, since it is smaller than the sum of its proper divisors (55410964).

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

45204068 is a wasteful number, since it uses less digits than its factorization.

45204068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 45204068 is about 6723.3970580355. The cubic root of 45204068 is about 356.2261850090.

The spelling of 45204068 in words is "forty-five million, two hundred four thousand, sixty-eight".