447957 has 16 divisors (see below), whose sum is σ = 679680. Its totient is φ = 291456.

The previous prime is 447943. The next prime is 447961. The reversal of 447957 is 759744.

It is a happy number.

It is not a de Polignac number, because 447957 - 2⁶ = 447893 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 447957.

It is not an unprimeable number, because it can be changed into a prime (447907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (42480).

2⁴⁴⁷⁹⁵⁷ is an apocalyptic number.

447957 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

447957 is a deficient number, since it is larger than the sum of its proper divisors (231723).

447957 is a wasteful number, since it uses less digits than its factorization.

447957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 447957 is about 669.2958986876. The cubic root of 447957 is about 76.5147991361.

It can be divided in two parts, 44 and 7957, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 447957 in words is "four hundred forty-seven thousand, nine hundred fifty-seven".