407638 has 16 divisors (see below), whose sum is σ = 762624. Its totient is φ = 158760.

The previous prime is 407633. The next prime is 407639. The reversal of 407638 is 836704.

407638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (47664).

2⁴⁰⁷⁶³⁸ is an apocalyptic number.

407638 is a deficient number, since it is larger than the sum of its proper divisors (354986).

407638 is a wasteful number, since it uses less digits than its factorization.

407638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 407638 is about 638.4653475327. The cubic root of 407638 is about 74.1466534114.

It can be divided in two parts, 4076 and 38, that added together give a palindrome (4114).

The spelling of 407638 in words is "four hundred seven thousand, six hundred thirty-eight".