45324576 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 12960000.

The previous prime is 45324571. The next prime is 45324577. The reversal of 45324576 is 67542354.

It is a super-3 number, since 3×45324576³ (a number of 24 digits) contains 333 as substring.

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

Its product of digits (100800) is a multiple of the sum of its prime factors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 45324576.

It is not an unprimeable number, because it can be changed into a prime (45324571) 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, 180451 + ... + 180701.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^45324576 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 45324576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

45324576 is an abundant number, since it is smaller than the sum of its proper divisors (107085024).

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

45324576 is a wasteful number, since it uses less digits than its factorization.

45324576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45324576 is about 6732.3529319251. The cubic root of 45324576 is about 356.5424545878.

The spelling of 45324576 in words is "forty-five million, three hundred twenty-four thousand, five hundred seventy-six".