406105456 has 40 divisors (see below), whose sum is σ = 814047104. Its totient is φ = 196058880.

The previous prime is 406105439. The next prime is 406105477. The reversal of 406105456 is 654501604.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 363010 + ... + 364126.

Almost surely, 2^406105456 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 406105456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407023552).

406105456 is an abundant number, since it is smaller than the sum of its proper divisors (407941648).

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

406105456 is a wasteful number, since it uses less digits than its factorization.

406105456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 406105456 is about 20152.0583564062. The cubic root of 406105456 is about 740.5361685218.

The spelling of 406105456 in words is "four hundred six million, one hundred five thousand, four hundred fifty-six".