406927456 has 48 divisors (see below), whose sum is σ = 871232544. Its totient is φ = 185969664.

The previous prime is 406927441. The next prime is 406927471. The reversal of 406927456 is 654729604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406927441) and next prime (406927471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38100 + ... + 47596.

It is an arithmetic number, because the mean of its divisors is an integer number (18150678).

Almost surely, 2^406927456 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 406927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435616272).

406927456 is an abundant number, since it is smaller than the sum of its proper divisors (464305088).

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

406927456 is a wasteful number, since it uses less digits than its factorization.

406927456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 406927456 is about 20172.4429854195. The cubic root of 406927456 is about 741.0354727279.

The spelling of 406927456 in words is "four hundred six million, nine hundred twenty-seven thousand, four hundred fifty-six".