44906900 has 72 divisors (see below), whose sum is σ = 102415320. Its totient is φ = 17072640.

The previous prime is 44906887. The next prime is 44906903. The reversal of 44906900 is 960944.

It is a happy number.

44906900 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 12 ways, for example, as 204304 + 44702596 = 452^2 + 6686^2 .

It is a super-2 number, since 2×44906900² = 4033259335220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44906903) 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 23 ways as a sum of consecutive naturals, for example, 195986 + ... + 196214.

It is an arithmetic number, because the mean of its divisors is an integer number (1422435).

Almost surely, 2^44906900 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 44906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51207660).

44906900 is an abundant number, since it is smaller than the sum of its proper divisors (57508420).

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

44906900 is a wasteful number, since it uses less digits than its factorization.

44906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 44906900 is about 6701.2610753499. The cubic root of 44906900 is about 355.4438671911.

The spelling of 44906900 in words is "forty-four million, nine hundred six thousand, nine hundred".