407644 has 12 divisors (see below), whose sum is σ = 718144. Its totient is φ = 202464.

The previous prime is 407639. The next prime is 407651. The reversal of 407644 is 446704.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

407644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664 + ... + 1120.

2⁴⁰⁷⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

407644 is a deficient number, since it is larger than the sum of its proper divisors (310500).

407644 is a wasteful number, since it uses less digits than its factorization.

407644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 407644 is about 638.4700462825. The cubic root of 407644 is about 74.1470171964.

Subtracting 407644 from its reverse (446704), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 407644 in words is "four hundred seven thousand, six hundred forty-four".