447079040 has 128 divisors (see below), whose sum is σ = 1110412800. Its totient is φ = 172023808.

The previous prime is 447079013. The next prime is 447079043. The reversal of 447079040 is 40970744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447079043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677037 + ... + 2677203.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2^447079040 is an apocalyptic number.

447079040 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 447079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

447079040 is an abundant number, since it is smaller than the sum of its proper divisors (663333760).

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

447079040 is a wasteful number, since it uses less digits than its factorization.

447079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 447079040 is about 21144.2436611008. The cubic root of 447079040 is about 764.6477880824.

The spelling of 447079040 in words is "four hundred forty-seven million, seventy-nine thousand, forty".