406799436 has 96 divisors (see below), whose sum is σ = 1024708608. Its totient is φ = 125294400.

The previous prime is 406799431. The next prime is 406799489. The reversal of 406799436 is 634997604.

It is a super-2 number, since 2×406799436² = 330971562259836192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406799431) 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 31 ways as a sum of consecutive naturals, for example, 1791955 + ... + 1792181.

It is an arithmetic number, because the mean of its divisors is an integer number (10674048).

Almost surely, 2^406799436 is an apocalyptic number.

406799436 is a gapful number since it is divisible by the number (46) 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 406799436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512354304).

406799436 is an abundant number, since it is smaller than the sum of its proper divisors (617909172).

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

406799436 is a wasteful number, since it uses less digits than its factorization.

406799436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 406799436 is about 20169.2695951043. The cubic root of 406799436 is about 740.9577542795.

The spelling of 406799436 in words is "four hundred six million, seven hundred ninety-nine thousand, four hundred thirty-six".