406661584 has 60 divisors (see below), whose sum is σ = 921547044. Its totient is φ = 173332992.

The previous prime is 406661581. The next prime is 406661587. The reversal of 406661584 is 485166604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406661581) and next prime (406661587).

It can be written as a sum of positive squares in 2 ways, for example, as 258309184 + 148352400 = 16072^2 + 12180^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406661581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153132 + ... + 155764.

Almost surely, 2^406661584 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 406661584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460773522).

406661584 is an abundant number, since it is smaller than the sum of its proper divisors (514885460).

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

406661584 is a wasteful number, since it uses less digits than its factorization.

406661584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 406661584 is about 20165.8519284458. The cubic root of 406661584 is about 740.8740487815.

The spelling of 406661584 in words is "four hundred six million, six hundred sixty-one thousand, five hundred eighty-four".