477628407 has 28 divisors (see below), whose sum is σ = 723181264. Its totient is φ = 315277920.

The previous prime is 477628387. The next prime is 477628409. The reversal of 477628407 is 704826774.

It is not a de Polignac number, because 477628407 - 2⁶ = 477628343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477628409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 71907 + ... + 78267.

Almost surely, 2^477628407 is an apocalyptic number.

477628407 is a deficient number, since it is larger than the sum of its proper divisors (245552857).

477628407 is an equidigital number, since it uses as much as digits as its factorization.

477628407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 477628407 is about 21854.7113227331. The cubic root of 477628407 is about 781.6818885435.

It can be divided in two parts, 47762 and 8407, that added together give a square (56169 = 237²).

The spelling of 477628407 in words is "four hundred seventy-seven million, six hundred twenty-eight thousand, four hundred seven".