45824400 has 120 divisors (see below), whose sum is σ = 163139360. Its totient is φ = 12216960.

The previous prime is 45824399. The next prime is 45824453. The reversal of 45824400 is 442854.

45824400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 8679 + ... + 12921.

Almost surely, 2^45824400 is an apocalyptic number.

45824400 is a gapful number since it is divisible by the number (40) 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 45824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81569680).

45824400 is an abundant number, since it is smaller than the sum of its proper divisors (117314960).

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

45824400 is a wasteful number, since it uses less digits than its factorization.

45824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45824400 is about 6769.3722013197. The cubic root of 45824400 is about 357.8482758543.

The spelling of 45824400 in words is "forty-five million, eight hundred twenty-four thousand, four hundred".