405613664 has 48 divisors (see below), whose sum is σ = 817296480. Its totient is φ = 198082560.

The previous prime is 405613661. The next prime is 405613679. The reversal of 405613664 is 466316504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405613661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527072 + ... + 527840.

It is an arithmetic number, because the mean of its divisors is an integer number (17027010).

Almost surely, 2^405613664 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 405613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408648240).

405613664 is an abundant number, since it is smaller than the sum of its proper divisors (411682816).

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

405613664 is a wasteful number, since it uses less digits than its factorization.

405613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 405613664 is about 20139.8526310398. The cubic root of 405613664 is about 740.2371190444.

The spelling of 405613664 in words is "four hundred five million, six hundred thirteen thousand, six hundred sixty-four".