447209280 has 252 divisors, whose sum is σ = 1789915140. Its totient is φ = 102187008.

The previous prime is 447209267. The next prime is 447209281. The reversal of 447209280 is 82902744.

447209280 is a `hidden beast` number, since 447 + 209 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 176145984 = 16464^2 + 13272^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×447209280² = 399992280236236800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447209281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139536 + ... + 142704.

Almost surely, 2^447209280 is an apocalyptic number.

447209280 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 447209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894957570).

447209280 is an abundant number, since it is smaller than the sum of its proper divisors (1342705860).

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

447209280 is a wasteful number, since it uses less digits than its factorization.

447209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 447209280 is about 21147.3232348683. The cubic root of 447209280 is about 764.7220315234.

The spelling of 447209280 in words is "four hundred forty-seven million, two hundred nine thousand, two hundred eighty".