44230800 has 240 divisors, whose sum is σ = 154990080. Its totient is φ = 10752000.

The previous prime is 44230777. The next prime is 44230819. The reversal of 44230800 is 803244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078780 + ... + 1078820.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^44230800 is an apocalyptic number.

44230800 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 44230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

44230800 is an abundant number, since it is smaller than the sum of its proper divisors (110759280).

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

44230800 is a wasteful number, since it uses less digits than its factorization.

44230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 44230800 is about 6650.6240308711. The cubic root of 44230800 is about 353.6510334265.

The spelling of 44230800 in words is "forty-four million, two hundred thirty thousand, eight hundred".