44416680 has 384 divisors, whose sum is σ = 183859200. Its totient is φ = 8363520.

The previous prime is 44416679. The next prime is 44416681. The reversal of 44416680 is 8661444.

44416680 = T₂₁₁ + T₂₁₂ + ... + T₆₅₀.

It is an interprime number because it is at equal distance from previous prime (44416679) and next prime (44416681).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (44416681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931149 + ... + 1931171.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^44416680 is an apocalyptic number.

44416680 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 44416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

44416680 is an abundant number, since it is smaller than the sum of its proper divisors (139442520).

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

44416680 is a wasteful number, since it uses less digits than its factorization.

44416680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 44416680 is about 6664.5840080233. The cubic root of 44416680 is about 354.1457473842.

The spelling of 44416680 in words is "forty-four million, four hundred sixteen thousand, six hundred eighty".