45206304 has 192 divisors, whose sum is σ = 144789120. Its totient is φ = 12165120.

The previous prime is 45206303. The next prime is 45206321. The reversal of 45206304 is 40360254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45206303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 507892 + ... + 507980.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^45206304 is an apocalyptic number.

45206304 is a gapful number since it is divisible by the number (44) 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 45206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

45206304 is an abundant number, since it is smaller than the sum of its proper divisors (99582816).

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

45206304 is a wasteful number, since it uses less digits than its factorization.

45206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45206304 is about 6723.5633409673. The cubic root of 45206304 is about 356.2320584378.

Adding to 45206304 its reverse (40360254), we get a palindrome (85566558).

The spelling of 45206304 in words is "forty-five million, two hundred six thousand, three hundred four".