406333780 has 48 divisors (see below), whose sum is σ = 880736976. Its totient is φ = 157368320.

The previous prime is 406333769. The next prime is 406333817. The reversal of 406333780 is 87333604.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 155301444 + 251032336 = 12462^2 + 15844^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110532 + ... + 114148.

It is an arithmetic number, because the mean of its divisors is an integer number (18348687).

Almost surely, 2^406333780 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 406333780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440368488).

406333780 is an abundant number, since it is smaller than the sum of its proper divisors (474403196).

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

406333780 is a wasteful number, since it uses less digits than its factorization.

406333780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 406333780 is about 20157.7225896181. The cubic root of 406333780 is about 740.6749259964.

The spelling of 406333780 in words is "four hundred six million, three hundred thirty-three thousand, seven hundred eighty".