447264 has 36 divisors (see below), whose sum is σ = 1272726. Its totient is φ = 148992.

The previous prime is 447263. The next prime is 447311. The reversal of 447264 is 462744.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 11664 = 660^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (447263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 489 + ... + 1064.

2⁴⁴⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

447264 is an abundant number, since it is smaller than the sum of its proper divisors (825462).

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

447264 is a wasteful number, since it uses less digits than its factorization.

447264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1558 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 447264 is about 668.7779900685. Note that the first 3 decimals coincide. The cubic root of 447264 is about 76.4753220413.

The spelling of 447264 in words is "four hundred forty-seven thousand, two hundred sixty-four".