406820688 has 80 divisors (see below), whose sum is σ = 1132118016. Its totient is φ = 125516160.

The previous prime is 406820677. The next prime is 406820747. The reversal of 406820688 is 886028604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28281 + ... + 40167.

Almost surely, 2^406820688 is an apocalyptic number.

406820688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406820688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566059008).

406820688 is an abundant number, since it is smaller than the sum of its proper divisors (725297328).

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

406820688 is a wasteful number, since it uses less digits than its factorization.

406820688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 406820688 is about 20169.7964293148. The cubic root of 406820688 is about 740.9706570834.

The spelling of 406820688 in words is "four hundred six million, eight hundred twenty thousand, six hundred eighty-eight".