476008 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 209088.

The previous prime is 475997. The next prime is 476009. The reversal of 476008 is 800674.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (476009) by changing a digit.

476008 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 7 ways as a sum of consecutive naturals, for example, 2293 + ... + 2491.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁴⁷⁶⁰⁰⁸ 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 476008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

476008 is an abundant number, since it is smaller than the sum of its proper divisors (531992).

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

476008 is a wasteful number, since it uses less digits than its factorization.

476008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 476008 is about 689.9333301124. The cubic root of 476008 is about 78.0796906341.

It can be divided in two parts, 47 and 6008, that multiplied together give a triangular number (282376 = T₇₅₁).

The spelling of 476008 in words is "four hundred seventy-six thousand, eight".