406377 has 20 divisors (see below), whose sum is σ = 631620. Its totient is φ = 260064.

The previous prime is 406361. The next prime is 406381. The reversal of 406377 is 773604.

It can be written as a sum of positive squares in 2 ways, for example, as 301401 + 104976 = 549^2 + 324^2 .

It is not a de Polignac number, because 406377 - 2⁴ = 406361 is a prime.

It is a super-2 number, since 2×406377² = 330284532258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 406377.

It is not an unprimeable number, because it can be changed into a prime (406327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2263 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (31581).

2⁴⁰⁶³⁷⁷ is an apocalyptic number.

It is an amenable number.

406377 is a deficient number, since it is larger than the sum of its proper divisors (225243).

406377 is a wasteful number, since it uses less digits than its factorization.

406377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 406377 is about 637.4770584107. The cubic root of 406377 is about 74.0701185882.

406377 divided by its sum of digits (27) gives a palindrome (15051).

The spelling of 406377 in words is "four hundred six thousand, three hundred seventy-seven".