476672 has 60 divisors (see below), whose sum is σ = 1166220. Its totient is φ = 193536.

The previous prime is 476659. The next prime is 476681. The reversal of 476672 is 276674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (14112) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is an unprimeable number.

476672 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 5 ways as a sum of consecutive naturals, for example, 25079 + ... + 25097.

It is an arithmetic number, because the mean of its divisors is an integer number (19437).

2⁴⁷⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583110).

476672 is an abundant number, since it is smaller than the sum of its proper divisors (689548).

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

476672 is an equidigital number, since it uses as much as digits as its factorization.

476672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 476672 is about 690.4143683325. The cubic root of 476672 is about 78.1159791184.

The spelling of 476672 in words is "four hundred seventy-six thousand, six hundred seventy-two".