45362304 has 144 divisors (see below), whose sum is σ = 141954930. Its totient is φ = 13897728.

The previous prime is 45362297. The next prime is 45362311. The reversal of 45362304 is 40326354.

It is an interprime number because it is at equal distance from previous prime (45362297) and next prime (45362311).

It can be written as a sum of positive squares in 3 ways, for example, as 15681600 + 29680704 = 3960^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194572 + ... + 194804.

Almost surely, 2^45362304 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 45362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70977465).

45362304 is an abundant number, since it is smaller than the sum of its proper divisors (96592626).

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

45362304 is a wasteful number, since it uses less digits than its factorization.

45362304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45362304 is about 6735.1543412159. The cubic root of 45362304 is about 356.6413553335.

Adding to 45362304 its reverse (40326354), we get a palindrome (85688658).

The spelling of 45362304 in words is "forty-five million, three hundred sixty-two thousand, three hundred four".