407632 has 20 divisors (see below), whose sum is σ = 802900. Its totient is φ = 200448.

The previous prime is 407621. The next prime is 407633. The reversal of 407632 is 236704.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 141376 = 516^2 + 376^2 .

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 994 + ... + 1342.

It is an arithmetic number, because the mean of its divisors is an integer number (40145).

2⁴⁰⁷⁶³² is an apocalyptic number.

It is an amenable number.

407632 is a deficient number, since it is larger than the sum of its proper divisors (395268).

407632 is a wasteful number, since it uses less digits than its factorization.

407632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 407632 is about 638.4606487482. The cubic root of 407632 is about 74.1462896228.

The spelling of 407632 in words is "four hundred seven thousand, six hundred thirty-two".