447406260 has 144 divisors (see below), whose sum is σ = 1504581120. Its totient is φ = 98945280.

The previous prime is 447406249. The next prime is 447406261. The reversal of 447406260 is 62604744.

It is a super-2 number, since 2×447406260² = 400344722974375200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447406261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88686 + ... + 93594.

It is an arithmetic number, because the mean of its divisors is an integer number (10448480).

Almost surely, 2^447406260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447406260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752290560).

447406260 is an abundant number, since it is smaller than the sum of its proper divisors (1057174860).

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

447406260 is a wasteful number, since it uses less digits than its factorization.

447406260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 447406260 is about 21151.9800491585. The cubic root of 447406260 is about 764.8342927856.

The spelling of 447406260 in words is "four hundred forty-seven million, four hundred six thousand, two hundred sixty".