104446440 has 288 divisors, whose sum is σ = 409743360. Its totient is φ = 22982400.

The previous prime is 104446421. The next prime is 104446483. The reversal of 104446440 is 44644401.

104446440 is a `hidden beast` number, since 10 + 4 + 4 + 4 + 644 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546745 + ... + 546935.

It is an arithmetic number, because the mean of its divisors is an integer number (1422720).

Almost surely, 2^104446440 is an apocalyptic number.

104446440 is a gapful number since it is divisible by the number (10) 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 104446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

104446440 is an abundant number, since it is smaller than the sum of its proper divisors (305296920).

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

104446440 is a wasteful number, since it uses less digits than its factorization.

104446440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 104446440 is about 10219.9041091392. The cubic root of 104446440 is about 470.9388807327.

The spelling of 104446440 in words is "one hundred four million, four hundred forty-six thousand, four hundred forty".