406544 has 10 divisors (see below), whose sum is σ = 787710. Its totient is φ = 203264.

The previous prime is 406531. The next prime is 406547. The reversal of 406544 is 445604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 144400 = 512^2 + 380^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406547) by changing a digit.

406544 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 as a sum of consecutive naturals, namely, 12689 + ... + 12720.

It is an arithmetic number, because the mean of its divisors is an integer number (78771).

2⁴⁰⁶⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

406544 is a deficient number, since it is larger than the sum of its proper divisors (381166).

406544 is a wasteful number, since it uses less digits than its factorization.

406544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25417 (or 25411 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 406544 is about 637.6080300624. The cubic root of 406544 is about 74.0802635322.

Subtracting 406544 from its reverse (445604), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 406544 in words is "four hundred six thousand, five hundred forty-four".