477406801 has 8 divisors (see below), whose sum is σ = 513777384. Its totient is φ = 441957120.

The previous prime is 477406799. The next prime is 477406823. The reversal of 477406801 is 108604774.

It can be written as a sum of positive squares in 4 ways, for example, as 10890000 + 466516801 = 3300^2 + 21599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 477406801 - 2¹ = 477406799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (477406841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229150 + ... + 231223.

It is an arithmetic number, because the mean of its divisors is an integer number (64222173).

Almost surely, 2^477406801 is an apocalyptic number.

It is an amenable number.

477406801 is a deficient number, since it is larger than the sum of its proper divisors (36370583).

477406801 is a wasteful number, since it uses less digits than its factorization.

477406801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460451.

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 477406801 is about 21849.6407521954. The cubic root of 477406801 is about 781.5609771184.

The spelling of 477406801 in words is "four hundred seventy-seven million, four hundred six thousand, eight hundred one".