447539040 has 288 divisors, whose sum is σ = 1698913440. Its totient is φ = 109983744.

The previous prime is 447539023. The next prime is 447539069. The reversal of 447539040 is 40935744.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 447538986 and 447539004.

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, 729774 + ... + 730386.

It is an arithmetic number, because the mean of its divisors is an integer number (5899005).

Almost surely, 2^447539040 is an apocalyptic number.

447539040 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 447539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849456720).

447539040 is an abundant number, since it is smaller than the sum of its proper divisors (1251374400).

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

447539040 is a wasteful number, since it uses less digits than its factorization.

447539040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 447539040 is about 21155.1185295663. The cubic root of 447539040 is about 764.9099471083.

The spelling of 447539040 in words is "four hundred forty-seven million, five hundred thirty-nine thousand, forty".