44478000 has 240 divisors, whose sum is σ = 178042176. Its totient is φ = 10137600.

The previous prime is 44477981. The next prime is 44478023. The reversal of 44478000 is 87444.

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, 125824 + ... + 126176.

Almost surely, 2^44478000 is an apocalyptic number.

44478000 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 44478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89021088).

44478000 is an abundant number, since it is smaller than the sum of its proper divisors (133564176).

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

44478000 is a wasteful number, since it uses less digits than its factorization.

44478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 44478000 is about 6669.1828584917. The cubic root of 44478000 is about 354.3086458820.

The spelling of 44478000 in words is "forty-four million, four hundred seventy-eight thousand".