461104016 has 40 divisors (see below), whose sum is σ = 908926200. Its totient is φ = 226575360.

The previous prime is 461104009. The next prime is 461104037. The reversal of 461104016 is 610401164.

It can be written as a sum of positive squares in 4 ways, for example, as 11833600 + 449270416 = 3440^2 + 21196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 461103982 and 461104000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 256850 + ... + 258638.

It is an arithmetic number, because the mean of its divisors is an integer number (22723155).

Almost surely, 2^461104016 is an apocalyptic number.

It is an amenable number.

461104016 is a deficient number, since it is larger than the sum of its proper divisors (447822184).

461104016 is a wasteful number, since it uses less digits than its factorization.

461104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 461104016 is about 21473.3326710131. The cubic root of 461104016 is about 772.5613338956.

The spelling of 461104016 in words is "four hundred sixty-one million, one hundred four thousand, sixteen".