476470401 has 32 divisors (see below), whose sum is σ = 711659520. Its totient is φ = 281064000.

The previous prime is 476470399. The next prime is 476470411. The reversal of 476470401 is 104074674.

It is not a de Polignac number, because 476470401 - 2¹ = 476470399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (476470411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679351 + ... + 680051.

It is an arithmetic number, because the mean of its divisors is an integer number (22239360).

It is a Poulet number, since it divides 2^476470400-1.

Almost surely, 2^476470401 is an apocalyptic number.

It is an amenable number.

476470401 is a deficient number, since it is larger than the sum of its proper divisors (235189119).

476470401 is a wasteful number, since it uses less digits than its factorization.

476470401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 476470401 is about 21828.2019644312. The cubic root of 476470401 is about 781.0496502913.

The spelling of 476470401 in words is "four hundred seventy-six million, four hundred seventy thousand, four hundred one".