4777461 has 30 divisors (see below), whose sum is σ = 7750050. Its totient is φ = 2931552.

The previous prime is 4777453. The next prime is 4777463. The reversal of 4777461 is 1647774.

It can be written as a sum of positive squares in 3 ways, for example, as 72900 + 4704561 = 270^2 + 2169^2 .

It is not a de Polignac number, because 4777461 - 2³ = 4777453 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777463) 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 29 ways as a sum of consecutive naturals, for example, 13515 + ... + 13863.

It is an arithmetic number, because the mean of its divisors is an integer number (258335).

Almost surely, 2^4777461 is an apocalyptic number.

It is an amenable number.

4777461 is a deficient number, since it is larger than the sum of its proper divisors (2972589).

4777461 is a wasteful number, since it uses less digits than its factorization.

4777461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 4777461 is about 2185.7403779955. The cubic root of 4777461 is about 168.4220891504.

The spelling of 4777461 in words is "four million, seven hundred seventy-seven thousand, four hundred sixty-one".