45676224 has 196 divisors, whose sum is σ = 149915880. Its totient is φ = 13685760.

The previous prime is 45676219. The next prime is 45676243. The reversal of 45676224 is 42267654.

45676224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (105).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 513172 + ... + 513260.

Almost surely, 2^45676224 is an apocalyptic number.

45676224 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 45676224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74957940).

45676224 is an abundant number, since it is smaller than the sum of its proper divisors (104239656).

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

45676224 is an equidigital number, since it uses as much as digits as its factorization.

45676224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45676224 is about 6758.4187499740. The cubic root of 45676224 is about 357.4621512737.

The spelling of 45676224 in words is "forty-five million, six hundred seventy-six thousand, two hundred twenty-four".