406835456 has 72 divisors (see below), whose sum is σ = 843714144. Its totient is φ = 195645440.

The previous prime is 406835447. The next prime is 406835459. The reversal of 406835456 is 654538604.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (406835459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870935 + ... + 871401.

It is an arithmetic number, because the mean of its divisors is an integer number (11718252).

Almost surely, 2^406835456 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 406835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421857072).

406835456 is an abundant number, since it is smaller than the sum of its proper divisors (436878688).

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

406835456 is an equidigital number, since it uses as much as digits as its factorization.

406835456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 406835456 is about 20170.1625179372. The cubic root of 406835456 is about 740.9796229682.

The spelling of 406835456 in words is "four hundred six million, eight hundred thirty-five thousand, four hundred fifty-six".