406770336 has 336 divisors, whose sum is σ = 1427860224. Its totient is φ = 111601152.

The previous prime is 406770263. The next prime is 406770347. The reversal of 406770336 is 633077604.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 406770336.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 7674886 + ... + 7674938.

It is an arithmetic number, because the mean of its divisors is an integer number (4249584).

Almost surely, 2^406770336 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 406770336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713930112).

406770336 is an abundant number, since it is smaller than the sum of its proper divisors (1021089888).

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

406770336 is an equidigital number, since it uses as much as digits as its factorization.

406770336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 406770336 is about 20168.5481877105. The cubic root of 406770336 is about 740.9400859620.

The spelling of 406770336 in words is "four hundred six million, seven hundred seventy thousand, three hundred thirty-six".