45813504 has 216 divisors, whose sum is σ = 146800080. Its totient is φ = 12615680.

The previous prime is 45813491. The next prime is 45813529. The reversal of 45813504 is 40531854.

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, 1579762 + ... + 1579790.

It is an arithmetic number, because the mean of its divisors is an integer number (679630).

Almost surely, 2^45813504 is an apocalyptic number.

45813504 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 45813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73400040).

45813504 is an abundant number, since it is smaller than the sum of its proper divisors (100986576).

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

45813504 is a wasteful number, since it uses less digits than its factorization.

45813504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45813504 is about 6768.5673521064. The cubic root of 45813504 is about 357.8199108792.

The spelling of 45813504 in words is "forty-five million, eight hundred thirteen thousand, five hundred four".