447749120 has 264 divisors, whose sum is σ = 1365954912. Its totient is φ = 137134080.

The previous prime is 447749087. The next prime is 447749129. The reversal of 447749120 is 21947744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447749129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14443505 + ... + 14443535.

Almost surely, 2^447749120 is an apocalyptic number.

447749120 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 447749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682977456).

447749120 is an abundant number, since it is smaller than the sum of its proper divisors (918205792).

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

447749120 is a wasteful number, since it uses less digits than its factorization.

447749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 447749120 is about 21160.0831756399. The cubic root of 447749120 is about 765.0296142437.

The spelling of 447749120 in words is "four hundred forty-seven million, seven hundred forty-nine thousand, one hundred twenty".