407144 has 8 divisors (see below), whose sum is σ = 763410. Its totient is φ = 203568.

The previous prime is 407137. The next prime is 407149. The reversal of 407144 is 441704.

407144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 407044 + 100 = 638^2 + 10^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (407149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25439 + ... + 25454.

2⁴⁰⁷¹⁴⁴ is an apocalyptic number.

It is an amenable number.

407144 is a deficient number, since it is larger than the sum of its proper divisors (356266).

407144 is a wasteful number, since it uses less digits than its factorization.

407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50899 (or 50895 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 407144 is about 638.0783650932. The cubic root of 407144 is about 74.1166895276.

Adding to 407144 its reverse (441704), we get a palindrome (848848).

The spelling of 407144 in words is "four hundred seven thousand, one hundred forty-four", and thus it is an iban number.