45306504 has 96 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 14256000.

The previous prime is 45306487. The next prime is 45306509. The reversal of 45306504 is 40560354.

45306504 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 650 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (45306509) 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 23 ways as a sum of consecutive naturals, for example, 180379 + ... + 180629.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^45306504 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 45306504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

45306504 is an abundant number, since it is smaller than the sum of its proper divisors (84423096).

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

45306504 is a wasteful number, since it uses less digits than its factorization.

45306504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45306504 is about 6731.0106224846. The cubic root of 45306504 is about 356.4950609339.

Adding to 45306504 its reverse (40560354), we get a palindrome (85866858).

The spelling of 45306504 in words is "forty-five million, three hundred six thousand, five hundred four".