478334961 has 24 divisors (see below), whose sum is σ = 769739880. Its totient is φ = 284207616.

The previous prime is 478334953. The next prime is 478334981. The reversal of 478334961 is 169433874.

It can be written as a sum of positive squares in 4 ways, for example, as 1742400 + 476592561 = 1320^2 + 21831^2 .

It is not a de Polignac number, because 478334961 - 2³ = 478334953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (478334981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67096 + ... + 73881.

It is an arithmetic number, because the mean of its divisors is an integer number (32072495).

Almost surely, 2^478334961 is an apocalyptic number.

It is an amenable number.

478334961 is a deficient number, since it is larger than the sum of its proper divisors (291404919).

478334961 is a wasteful number, since it uses less digits than its factorization.

478334961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141025 (or 141022 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 478334961 is about 21870.8701472987. The cubic root of 478334961 is about 782.0671450468.

The spelling of 478334961 in words is "four hundred seventy-eight million, three hundred thirty-four thousand, nine hundred sixty-one".