406735056 has 120 divisors (see below), whose sum is σ = 1401021440. Its totient is φ = 107267328.

The previous prime is 406735037. The next prime is 406735057. The reversal of 406735056 is 650537604.

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

It is a self number, because there is not a number n which added to its sum of digits gives 406735056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406735057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2416 + ... + 28623.

Almost surely, 2^406735056 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 406735056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700510720).

406735056 is an abundant number, since it is smaller than the sum of its proper divisors (994286384).

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

406735056 is a wasteful number, since it uses less digits than its factorization.

406735056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31073 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 406735056 is about 20167.6735396029. The cubic root of 406735056 is about 740.9186642737.

The spelling of 406735056 in words is "four hundred six million, seven hundred thirty-five thousand, fifty-six".