405946624 has 36 divisors (see below), whose sum is σ = 817536636. Its totient is φ = 201162752.

The previous prime is 405946603. The next prime is 405946631. The reversal of 405946624 is 426649504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 382906624 = 4800^2 + 19568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21912 + ... + 35944.

It is an arithmetic number, because the mean of its divisors is an integer number (22709351).

Almost surely, 2^405946624 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 405946624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408768318).

405946624 is an abundant number, since it is smaller than the sum of its proper divisors (411590012).

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

405946624 is a wasteful number, since it uses less digits than its factorization.

405946624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 405946624 is about 20148.1171328737. The cubic root of 405946624 is about 740.4396121746.

The spelling of 405946624 in words is "four hundred five million, nine hundred forty-six thousand, six hundred twenty-four".