478585305 has 48 divisors (see below), whose sum is σ = 907006464. Its totient is φ = 231517440.

The previous prime is 478585291. The next prime is 478585337. The reversal of 478585305 is 503585874.

It is not a de Polignac number, because 478585305 - 2⁵ = 478585273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304632 + ... + 306198.

It is an arithmetic number, because the mean of its divisors is an integer number (18895968).

Almost surely, 2^478585305 is an apocalyptic number.

478585305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478585305 is a deficient number, since it is larger than the sum of its proper divisors (428421159).

478585305 is a wasteful number, since it uses less digits than its factorization.

478585305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 478585305 is about 21876.5926277380. The cubic root of 478585305 is about 782.2035568972.

The spelling of 478585305 in words is "four hundred seventy-eight million, five hundred eighty-five thousand, three hundred five".