44286000 has 240 divisors, whose sum is σ = 159510624. Its totient is φ = 10560000.

The previous prime is 44285993. The next prime is 44286013. The reversal of 44286000 is 68244.

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

It is a super-2 number, since 2×44286000² = 3922499592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a congruent number.

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, 725970 + ... + 726030.

Almost surely, 2^44286000 is an apocalyptic number.

44286000 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 44286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755312).

44286000 is an abundant number, since it is smaller than the sum of its proper divisors (115224624).

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

44286000 is a wasteful number, since it uses less digits than its factorization.

44286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44286000 is about 6654.7727233918. The cubic root of 44286000 is about 353.7980909951.

The spelling of 44286000 in words is "forty-four million, two hundred eighty-six thousand".