4631404977 has 24 divisors (see below), whose sum is σ = 6860391720. Its totient is φ = 3009035520.

The previous prime is 4631404933. The next prime is 4631405029. The reversal of 4631404977 is 7794041364.

4631404977 is a `hidden beast` number, since 4 + 631 + 4 + 0 + 4 + 9 + 7 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 4611903921 = 4416^2 + 67911^2 .

It is not a de Polignac number, because 4631404977 - 2⁸ = 4631404721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4631404277) 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 23 ways as a sum of consecutive naturals, for example, 361599 + ... + 374187.

It is an arithmetic number, because the mean of its divisors is an integer number (285849655).

Almost surely, 2^4631404977 is an apocalyptic number.

It is an amenable number.

4631404977 is a deficient number, since it is larger than the sum of its proper divisors (2228986743).

4631404977 is a wasteful number, since it uses less digits than its factorization.

4631404977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633 (or 13630 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4631404977 is about 68054.4265790257. The cubic root of 4631404977 is about 1666.8796811249.

The spelling of 4631404977 in words is "four billion, six hundred thirty-one million, four hundred four thousand, nine hundred seventy-seven".