447128640 has 224 divisors, whose sum is σ = 1802952960. Its totient is φ = 102187008.

The previous prime is 447128557. The next prime is 447128651. The reversal of 447128640 is 46821744.

447128640 is a `hidden beast` number, since 4 + 4 + 7 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 447128595 and 447128604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56784 + ... + 64176.

Almost surely, 2^447128640 is an apocalyptic number.

447128640 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 447128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901476480).

447128640 is an abundant number, since it is smaller than the sum of its proper divisors (1355824320).

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

447128640 is a wasteful number, since it uses less digits than its factorization.

447128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 447128640 is about 21145.4165246277. The cubic root of 447128640 is about 764.6760643113.

The spelling of 447128640 in words is "four hundred forty-seven million, one hundred twenty-eight thousand, six hundred forty".