406435320 has 320 divisors, whose sum is σ = 1486615680. Its totient is φ = 99201024.

The previous prime is 406435307. The next prime is 406435331. The reversal of 406435320 is 23534604.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2588682 + ... + 2588838.

It is an arithmetic number, because the mean of its divisors is an integer number (4645674).

Almost surely, 2^406435320 is an apocalyptic number.

406435320 is a gapful number since it is divisible by the number (40) 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 406435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743307840).

406435320 is an abundant number, since it is smaller than the sum of its proper divisors (1080180360).

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

406435320 is a wasteful number, since it uses less digits than its factorization.

406435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 406435320 is about 20160.2410699872. The cubic root of 406435320 is about 740.7366173709.

Adding to 406435320 its reverse (23534604), we get a palindrome (429969924).

The spelling of 406435320 in words is "four hundred six million, four hundred thirty-five thousand, three hundred twenty".