447461440 has 112 divisors (see below), whose sum is σ = 1126540800. Its totient is φ = 169021440.

The previous prime is 447461393. The next prime is 447461449. The reversal of 447461440 is 44164744.

It is a junction number, because it is equal to n+sod(n) for n = 447461396 and 447461405.

It is not an unprimeable number, because it can be changed into a prime (447461449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426036 + ... + 427084.

It is an arithmetic number, because the mean of its divisors is an integer number (10058400).

Almost surely, 2^447461440 is an apocalyptic number.

447461440 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 447461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563270400).

447461440 is an abundant number, since it is smaller than the sum of its proper divisors (679079360).

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

447461440 is a wasteful number, since it uses less digits than its factorization.

447461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 447461440 is about 21153.2843785546. The cubic root of 447461440 is about 764.8657346206.

The spelling of 447461440 in words is "four hundred forty-seven million, four hundred sixty-one thousand, four hundred forty".