447560640 has 280 divisors, whose sum is σ = 1646358912. Its totient is φ = 115292160.

The previous prime is 447560639. The next prime is 447560653. The reversal of 447560640 is 46065744.

447560640 is a `hidden beast` number, since 4 + 4 + 7 + 5 + 6 + 0 + 640 = 666.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 447560595 and 447560604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803242 + ... + 803798.

Almost surely, 2^447560640 is an apocalyptic number.

447560640 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 447560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823179456).

447560640 is an abundant number, since it is smaller than the sum of its proper divisors (1198798272).

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

447560640 is a wasteful number, since it uses less digits than its factorization.

447560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 447560640 is about 21155.6290381544. The cubic root of 447560640 is about 764.9222527678.

The spelling of 447560640 in words is "four hundred forty-seven million, five hundred sixty thousand, six hundred forty".