44868000 has 96 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 11961600.

The previous prime is 44867903. The next prime is 44868023. The reversal of 44868000 is 86844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10131 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^44868000 is an apocalyptic number.

44868000 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 44868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

44868000 is an abundant number, since it is smaller than the sum of its proper divisors (102158880).

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

44868000 is a wasteful number, since it uses less digits than its factorization.

44868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 44868000 is about 6698.3580077509. The cubic root of 44868000 is about 355.3412047141.

The spelling of 44868000 in words is "forty-four million, eight hundred sixty-eight thousand".