44542800 has 90 divisors (see below), whose sum is σ = 154588382. Its totient is φ = 11877120.

The previous prime is 44542781. The next prime is 44542801. The reversal of 44542800 is 824544.

44542800 is a `hidden beast` number, since 44 + 542 + 80 + 0 = 666.

44542800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2862864 + 41679936 = 1692^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×44542800² = 3968122063680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44542801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2587 + ... + 9786.

Almost surely, 2^44542800 is an apocalyptic number.

44542800 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 44542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77294191).

44542800 is an abundant number, since it is smaller than the sum of its proper divisors (110045582).

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

44542800 is a wasteful number, since it uses less digits than its factorization.

44542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397 (or 12383 counting only the distinct ones).

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

The square root of 44542800 is about 6674.0392567020. The cubic root of 44542800 is about 354.4806264830.

The spelling of 44542800 in words is "forty-four million, five hundred forty-two thousand, eight hundred".