447728736 has 192 divisors, whose sum is σ = 1475324928. Its totient is φ = 115734528.

The previous prime is 447728731. The next prime is 447728747. The reversal of 447728736 is 637827744.

It is a super-2 number, since 2×447728736² = 400922042080315392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447728731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462525 + ... + 463491.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2^447728736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737662464).

447728736 is an abundant number, since it is smaller than the sum of its proper divisors (1027596192).

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

447728736 is a wasteful number, since it uses less digits than its factorization.

447728736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 447728736 is about 21159.6015085351. The cubic root of 447728736 is about 765.0180046170.

The spelling of 447728736 in words is "four hundred forty-seven million, seven hundred twenty-eight thousand, seven hundred thirty-six".