477532305 has 12 divisors (see below), whose sum is σ = 827722740. Its totient is φ = 254683872.

The previous prime is 477532303. The next prime is 477532313. The reversal of 477532305 is 503235774.

It can be written as a sum of positive squares in 2 ways, for example, as 328008321 + 149523984 = 18111^2 + 12228^2 .

It is not a de Polignac number, because 477532305 - 2¹ = 477532303 is a prime.

It is a super-2 number, since 2×477532305² = 456074204637226050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 477532305.

It is not an unprimeable number, because it can be changed into a prime (477532303) 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 11 ways as a sum of consecutive naturals, for example, 5305870 + ... + 5305959.

It is an arithmetic number, because the mean of its divisors is an integer number (68976895).

Almost surely, 2^477532305 is an apocalyptic number.

477532305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

477532305 is a deficient number, since it is larger than the sum of its proper divisors (350190435).

477532305 is a wasteful number, since it uses less digits than its factorization.

477532305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611840 (or 10611837 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 477532305 is about 21852.5125557680. The cubic root of 477532305 is about 781.6294585019.

The spelling of 477532305 in words is "four hundred seventy-seven million, five hundred thirty-two thousand, three hundred five".