406964 has 6 divisors (see below), whose sum is σ = 712194. Its totient is φ = 203480.

The previous prime is 406951. The next prime is 406969. The reversal of 406964 is 469604.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 195364 = 460^2 + 442^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406964.

It is not an unprimeable number, because it can be changed into a prime (406969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50867 + ... + 50874.

It is an arithmetic number, because the mean of its divisors is an integer number (118699).

2⁴⁰⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

406964 is a deficient number, since it is larger than the sum of its proper divisors (305230).

406964 is a wasteful number, since it uses less digits than its factorization.

406964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101745 (or 101743 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 406964 is about 637.9373009944. The cubic root of 406964 is about 74.1057654888.

The spelling of 406964 in words is "four hundred six thousand, nine hundred sixty-four".