477624801 has 8 divisors (see below), whose sum is σ = 640514880. Its totient is φ = 316575632.

The previous prime is 477624769. The next prime is 477624803. The reversal of 477624801 is 108426774.

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 477624801 - 2⁵ = 477624769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 477624801.

It is not an unprimeable number, because it can be changed into a prime (477624803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459621 + ... + 460658.

It is an arithmetic number, because the mean of its divisors is an integer number (80064360).

Almost surely, 2^477624801 is an apocalyptic number.

It is an amenable number.

477624801 is a deficient number, since it is larger than the sum of its proper divisors (162890079).

477624801 is a wasteful number, since it uses less digits than its factorization.

477624801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920455.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 477624801 is about 21854.6288232036. The cubic root of 477624801 is about 781.6799213573.

The spelling of 477624801 in words is "four hundred seventy-seven million, six hundred twenty-four thousand, eight hundred one".