406940544 has 128 divisors (see below), whose sum is σ = 1218247200. Its totient is φ = 133705728.

The previous prime is 406940497. The next prime is 406940549. The reversal of 406940544 is 445049604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406940499 and 406940508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406940549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251482 + ... + 253094.

Almost surely, 2^406940544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609123600).

406940544 is an abundant number, since it is smaller than the sum of its proper divisors (811306656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406940544 is a wasteful number, since it uses less digits than its factorization.

406940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406940544 is about 20172.7673857604. The cubic root of 406940544 is about 741.0434172793.

The spelling of 406940544 in words is "four hundred six million, nine hundred forty thousand, five hundred forty-four".