447484744 has 128 divisors (see below), whose sum is σ = 1058780160. Its totient is φ = 172965888.

The previous prime is 447484729. The next prime is 447484781.

447484744 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×447484744² = 400485192225491072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 447484694 and 447484703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3266244 + ... + 3266380.

It is an arithmetic number, because the mean of its divisors is an integer number (8271720).

Almost surely, 2^447484744 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 447484744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529390080).

447484744 is an abundant number, since it is smaller than the sum of its proper divisors (611295416).

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

447484744 is a wasteful number, since it uses less digits than its factorization.

447484744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 46.

The square root of 447484744 is about 21153.8352078293. The cubic root of 447484744 is about 764.8790125779.

The spelling of 447484744 in words is "four hundred forty-seven million, four hundred eighty-four thousand, seven hundred forty-four".