476953 has 4 divisors (see below), whose sum is σ = 488628. Its totient is φ = 465280.

The previous prime is 476929. The next prime is 476977. The reversal of 476953 is 359674.

476953 = 32² + 33² + ... + 113².

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (476929) and next prime (476977).

It can be written as a sum of positive squares in 2 ways, for example, as 149769 + 327184 = 387^2 + 572^2 .

It is a cyclic number.

It is not a de Polignac number, because 476953 - 2⁵ = 476921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (476753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5776 + ... + 5857.

It is an arithmetic number, because the mean of its divisors is an integer number (122157).

2⁴⁷⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

476953 is a deficient number, since it is larger than the sum of its proper divisors (11675).

476953 is a wasteful number, since it uses less digits than its factorization.

476953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11674.

The product of its digits is 22680, while the sum is 34.

The square root of 476953 is about 690.6178393294. The cubic root of 476953 is about 78.1313259944.

It can be divided in two parts, 476 and 953, that multiplied together give a triangular number (453628 = T₉₅₂).

The spelling of 476953 in words is "four hundred seventy-six thousand, nine hundred fifty-three".