406040544 has 144 divisors (see below), whose sum is σ = 1421233632. Its totient is φ = 107080704.

The previous prime is 406040543. The next prime is 406040561. The reversal of 406040544 is 445040604.

406040544 is a `hidden beast` number, since 4 + 0 + 604 + 0 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406040543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18462 + ... + 33954.

It is an arithmetic number, because the mean of its divisors is an integer number (9869678).

Almost surely, 2^406040544 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 406040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710616816).

406040544 is an abundant number, since it is smaller than the sum of its proper divisors (1015193088).

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

406040544 is a wasteful number, since it uses less digits than its factorization.

406040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 406040544 is about 20150.4477369611. The cubic root of 406040544 is about 740.4967105892.

The spelling of 406040544 in words is "four hundred six million, forty thousand, five hundred forty-four".