451971 has 12 divisors (see below), whose sum is σ = 703248. Its totient is φ = 278064.

The previous prime is 451967. The next prime is 451987. The reversal of 451971 is 179154.

It is not a de Polignac number, because 451971 - 2² = 451967 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (451901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1815 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (58604).

2⁴⁵¹⁹⁷¹ is an apocalyptic number.

451971 is a deficient number, since it is larger than the sum of its proper divisors (251277).

451971 is a wasteful number, since it uses less digits than its factorization.

451971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3879 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 451971 is about 672.2878847637. The cubic root of 451971 is about 76.7426614663.

It can be divided in two parts, 45 and 1971, that added together give a triangular number (2016 = T₆₃).

The spelling of 451971 in words is "four hundred fifty-one thousand, nine hundred seventy-one".