405631456 has 48 divisors (see below), whose sum is σ = 854476560. Its totient is φ = 188974080.

The previous prime is 405631433. The next prime is 405631459. The reversal of 405631456 is 654136504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405631459) by changing a digit.

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, 31620 + ... + 42556.

It is an arithmetic number, because the mean of its divisors is an integer number (17801595).

Almost surely, 2^405631456 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 405631456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427238280).

405631456 is an abundant number, since it is smaller than the sum of its proper divisors (448845104).

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

405631456 is a wasteful number, since it uses less digits than its factorization.

405631456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 405631456 is about 20140.2943374718. The cubic root of 405631456 is about 740.2479422385.

The spelling of 405631456 in words is "four hundred five million, six hundred thirty-one thousand, four hundred fifty-six".