447363840 has 576 divisors, whose sum is σ = 1907297280. Its totient is φ = 86507520.

The previous prime is 447363811. The next prime is 447363841. The reversal of 447363840 is 48363744.

It is not an unprimeable number, because it can be changed into a prime (447363841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5026516 + ... + 5026604.

It is an arithmetic number, because the mean of its divisors is an integer number (3311280).

Almost surely, 2^447363840 is an apocalyptic number.

447363840 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 447363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953648640).

447363840 is an abundant number, since it is smaller than the sum of its proper divisors (1459933440).

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

447363840 is a wasteful number, since it uses less digits than its factorization.

447363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 447363840 is about 21150.9772823858. The cubic root of 447363840 is about 764.8101199037.

The spelling of 447363840 in words is "four hundred forty-seven million, three hundred sixty-three thousand, eight hundred forty".