406792 has 8 divisors (see below), whose sum is σ = 762750. Its totient is φ = 203392.

The previous prime is 406789. The next prime is 406807. The reversal of 406792 is 297604.

It can be written as a sum of positive squares in only one way, i.e., 320356 + 86436 = 566^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 406792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25417 + ... + 25432.

2⁴⁰⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

406792 is a deficient number, since it is larger than the sum of its proper divisors (355958).

406792 is a wasteful number, since it uses less digits than its factorization.

406792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855 (or 50851 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 406792 is about 637.8024772608. The cubic root of 406792 is about 74.0953239528.

The spelling of 406792 in words is "four hundred six thousand, seven hundred ninety-two".