407961 has 6 divisors (see below), whose sum is σ = 589290. Its totient is φ = 271968.

The previous prime is 407959. The next prime is 407969. The reversal of 407961 is 169704.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 47961 = 600^2 + 219^2 .

It is not a de Polignac number, because 407961 - 2¹ = 407959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22656 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (98215).

2⁴⁰⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

407961 is a deficient number, since it is larger than the sum of its proper divisors (181329).

407961 is a wasteful number, since it uses less digits than its factorization.

407961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45335 (or 45332 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 407961 is about 638.7182477431. The cubic root of 407961 is about 74.1662320950.

It can be divided in two parts, 40 and 7961, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 407961 in words is "four hundred seven thousand, nine hundred sixty-one".