447363000 has 384 divisors, whose sum is σ = 1798917120. Its totient is φ = 101865600.

The previous prime is 447362989. The next prime is 447363001. The reversal of 447363000 is 363744.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447363001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700869 + ... + 1701131.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2^447363000 is an apocalyptic number.

447363000 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 447363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899458560).

447363000 is an abundant number, since it is smaller than the sum of its proper divisors (1351554120).

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

447363000 is a wasteful number, since it uses less digits than its factorization.

447363000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 447363000 is about 21150.9574251380. The cubic root of 447363000 is about 764.8096412173.

The spelling of 447363000 in words is "four hundred forty-seven million, three hundred sixty-three thousand".