447972 has 24 divisors (see below), whose sum is σ = 1194816. Its totient is φ = 127968.

The previous prime is 447961. The next prime is 447983. The reversal of 447972 is 279744.

It is an interprime number because it is at equal distance from previous prime (447961) and next prime (447983).

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 7 ways as a sum of consecutive naturals, for example, 2583 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (49784).

2⁴⁴⁷⁹⁷² is an apocalyptic number.

447972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

447972 is an abundant number, since it is smaller than the sum of its proper divisors (746844).

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

447972 is a wasteful number, since it uses less digits than its factorization.

447972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5345 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 447972 is about 669.3071043998. The cubic root of 447972 is about 76.5156531684.

The spelling of 447972 in words is "four hundred forty-seven thousand, nine hundred seventy-two".