904144761 has 45 divisors (see below), whose sum is σ = 1468235901. Its totient is φ = 554231808.

The previous prime is 904144721. The next prime is 904144771. The reversal of 904144761 is 167441409.

The square root of 904144761 is 30069.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64304361 + 839840400 = 8019^2 + 28980^2 .

It is not a de Polignac number, because 904144761 - 2⁹ = 904144249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904144721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3517945 + ... + 3518201.

Almost surely, 2^904144761 is an apocalyptic number.

904144761 is the 30069-th square number.

904144761 is the 15035-th centered octagonal number.

It is an amenable number.

904144761 is a deficient number, since it is larger than the sum of its proper divisors (564091140).

904144761 is an equidigital number, since it uses as much as digits as its factorization.

904144761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 904144761 is about 966.9692347481.

Multiplying 904144761 by its sum of digits (36), we get a square (32549211396 = 180414²).

The spelling of 904144761 in words is "nine hundred four million, one hundred forty-four thousand, seven hundred sixty-one".