406764 has 18 divisors (see below), whose sum is σ = 1028300. Its totient is φ = 135576.

The previous prime is 406739. The next prime is 406789. The reversal of 406764 is 467604.

406764 = T₂₇ + T₂₈ + ... + T₁₃₄.

It is an interprime number because it is at equal distance from previous prime (406739) and next prime (406789).

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406764.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5614 + ... + 5685.

2⁴⁰⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

406764 is an abundant number, since it is smaller than the sum of its proper divisors (621536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406764 is a wasteful number, since it uses less digits than its factorization.

406764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 406764 is about 637.7805265136. The cubic root of 406764 is about 74.0936238893.

The spelling of 406764 in words is "four hundred six thousand, seven hundred sixty-four".