476952 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 127488.

The previous prime is 476929. The next prime is 476977. The reversal of 476952 is 259674.

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 476952.

It is an unprimeable number.

476952 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, 2773 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁷⁶⁹⁵² is an apocalyptic number.

476952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

476952 is an abundant number, since it is smaller than the sum of its proper divisors (974568).

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

476952 is a wasteful number, since it uses less digits than its factorization.

476952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 476952 is about 690.6171153396. The cubic root of 476952 is about 78.1312713899.

The spelling of 476952 in words is "four hundred seventy-six thousand, nine hundred fifty-two".