406790208 has 112 divisors (see below), whose sum is σ = 1304665920. Its totient is φ = 123264000.

The previous prime is 406790207. The next prime is 406790231. The reversal of 406790208 is 802097604.

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

It is not an unprimeable number, because it can be changed into a prime (406790203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8308 + ... + 29708.

Almost surely, 2^406790208 is an apocalyptic number.

406790208 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 406790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652332960).

406790208 is an abundant number, since it is smaller than the sum of its proper divisors (897875712).

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

406790208 is a wasteful number, since it uses less digits than its factorization.

406790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21433 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 406790208 is about 20169.0408299453. The cubic root of 406790208 is about 740.9521515105.

The spelling of 406790208 in words is "four hundred six million, seven hundred ninety thousand, two hundred eight".