471954 has 32 divisors (see below), whose sum is σ = 1143936. Its totient is φ = 126720.

The previous prime is 471949. The next prime is 471959. The reversal of 471954 is 459174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (471949) and next prime (471959).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (471959) by changing a digit.

471954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (35748).

2⁴⁷¹⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571968).

471954 is an abundant number, since it is smaller than the sum of its proper divisors (671982).

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

471954 is a wasteful number, since it uses less digits than its factorization.

471954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690.

The product of its digits is 5040, while the sum is 30.

The square root of 471954 is about 686.9890828827. The cubic root of 471954 is about 77.8573988873.

The spelling of 471954 in words is "four hundred seventy-one thousand, nine hundred fifty-four".