406826784 has 432 divisors, whose sum is σ = 1537728192. Its totient is φ = 99283968.

The previous prime is 406826773. The next prime is 406826789. The reversal of 406826784 is 487628604.

It is not an unprimeable number, because it can be changed into a prime (406826789) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9461067 + ... + 9461109.

It is an arithmetic number, because the mean of its divisors is an integer number (3559556).

Almost surely, 2^406826784 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 406826784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768864096).

406826784 is an abundant number, since it is smaller than the sum of its proper divisors (1130901408).

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

406826784 is a wasteful number, since it uses less digits than its factorization.

406826784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 406826784 is about 20169.9475457920. The cubic root of 406826784 is about 740.9743580870.

The spelling of 406826784 in words is "four hundred six million, eight hundred twenty-six thousand, seven hundred eighty-four".