447822144 has 336 divisors, whose sum is σ = 1673717760. Its totient is φ = 111006720.

The previous prime is 447822139. The next prime is 447822161. The reversal of 447822144 is 441228744.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 447822099 and 447822108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019877 + ... + 1020315.

Almost surely, 2^447822144 is an apocalyptic number.

447822144 is a gapful number since it is divisible by the number (44) 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 447822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836858880).

447822144 is an abundant number, since it is smaller than the sum of its proper divisors (1225895616).

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

447822144 is a wasteful number, since it uses less digits than its factorization.

447822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 447822144 is about 21161.8086183577. The cubic root of 447822144 is about 765.0712018823.

The spelling of 447822144 in words is "four hundred forty-seven million, eight hundred twenty-two thousand, one hundred forty-four".