45424000 has 128 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 16998400.

The previous prime is 45423997. The next prime is 45424007. The reversal of 45424000 is 42454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45424007) 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 15 ways as a sum of consecutive naturals, for example, 271917 + ... + 272083.

Almost surely, 2^45424000 is an apocalyptic number.

45424000 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 45424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

45424000 is an abundant number, since it is smaller than the sum of its proper divisors (74870720).

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

45424000 is a wasteful number, since it uses less digits than its factorization.

45424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 45424000 is about 6739.7329323943. The cubic root of 45424000 is about 356.8029680623.

Adding to 45424000 its reverse (42454), we get a palindrome (45466454).

The spelling of 45424000 in words is "forty-five million, four hundred twenty-four thousand".