447490575 has 144 divisors (see below), whose sum is σ = 1007435520. Its totient is φ = 192222720.

The previous prime is 447490573. The next prime is 447490577. The reversal of 447490575 is 575094744.

447490575 is a `hidden beast` number, since 4 + 4 + 74 + 9 + 0 + 575 = 666.

It is an interprime number because it is at equal distance from previous prime (447490573) and next prime (447490577).

It is not a de Polignac number, because 447490575 - 2¹ = 447490573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 447490575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447490573) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722616 + ... + 723234.

It is an arithmetic number, because the mean of its divisors is an integer number (6996080).

Almost surely, 2^447490575 is an apocalyptic number.

447490575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

447490575 is an abundant number, since it is smaller than the sum of its proper divisors (559944945).

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

447490575 is a wasteful number, since it uses less digits than its factorization.

447490575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 447490575 is about 21153.9730310880. The cubic root of 447490575 is about 764.8823348439.

The spelling of 447490575 in words is "four hundred forty-seven million, four hundred ninety thousand, five hundred seventy-five".