407444 has 12 divisors (see below), whose sum is σ = 732564. Its totient is φ = 198144.

The previous prime is 407437. The next prime is 407471. The reversal of 407444 is 444704.

It can be written as a sum of positive squares in 2 ways, for example, as 372100 + 35344 = 610^2 + 188^2 .

It is a super-2 number, since 2×407444² = 332021226272, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1229 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (61047).

2⁴⁰⁷⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

407444 is a deficient number, since it is larger than the sum of its proper divisors (325120).

407444 is a wasteful number, since it uses less digits than its factorization.

407444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 407444 is about 638.3134026479. The cubic root of 407444 is about 74.1348891064.

The spelling of 407444 in words is "four hundred seven thousand, four hundred forty-four", and thus it is an iban number.