407044 has 27 divisors (see below), whose sum is σ = 810901. Its totient is φ = 178640.

The previous prime is 407023. The next prime is 407047. The reversal of 407044 is 440704.

It is a happy number.

The square root of 407044 is 638.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 193600 = 462^2 + 440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407047) 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 8 ways as a sum of consecutive naturals, for example, 14022 + ... + 14050.

2⁴⁰⁷⁰⁴⁴ is an apocalyptic number.

407044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

407044 is the 638-th square number.

It is an amenable number.

407044 is a deficient number, since it is larger than the sum of its proper divisors (403857).

407044 is a wasteful number, since it uses less digits than its factorization.

407044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The cubic root of 407044 is about 74.1106210148.

Adding to 407044 its reverse (440704), we get a palindrome (847748).

It can be divided in two parts, 4070 and 44, that added together give a palindrome (4114).

The spelling of 407044 in words is "four hundred seven thousand, forty-four", and thus it is an iban number.