404616961 has 12 divisors (see below), whose sum is σ = 486908820. Its totient is φ = 334854240.

The previous prime is 404616959. The next prime is 404616967. The reversal of 404616961 is 169616404.

It can be written as a sum of positive squares in 2 ways, for example, as 307476225 + 97140736 = 17535^2 + 9856^2 .

It is not a de Polignac number, because 404616961 - 2¹ = 404616959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 404616961.

It is not an unprimeable number, because it can be changed into a prime (404616967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140950 + ... + 143791.

It is an arithmetic number, because the mean of its divisors is an integer number (40575735).

Almost surely, 2^404616961 is an apocalyptic number.

It is an amenable number.

404616961 is a deficient number, since it is larger than the sum of its proper divisors (82291859).

404616961 is a wasteful number, since it uses less digits than its factorization.

404616961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284784 (or 284777 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 404616961 is about 20115.0928658060. The cubic root of 404616961 is about 739.6303004784.

The spelling of 404616961 in words is "four hundred four million, six hundred sixteen thousand, nine hundred sixty-one".