476307 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 275616.

The previous prime is 476299. The next prime is 476317. The reversal of 476307 is 703674.

It is not a de Polignac number, because 476307 - 2³ = 476299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 4² + 7⁴ + 3¹¹ + 6⁷ + 0 + 7⁵ .

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476307.

It is not an unprimeable number, because it can be changed into a prime (476317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8044 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁷⁶³⁰⁷ is an apocalyptic number.

476307 is a deficient number, since it is larger than the sum of its proper divisors (330093).

476307 is a wasteful number, since it uses less digits than its factorization.

476307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 476307 is about 690.1499836992. The cubic root of 476307 is about 78.0960355562.

The spelling of 476307 in words is "four hundred seventy-six thousand, three hundred seven".