405606656 has 144 divisors (see below), whose sum is σ = 1041164544. Its totient is φ = 153280512.

The previous prime is 405606653. The next prime is 405606683. The reversal of 405606656 is 656606504.

It is not an unprimeable number, because it can be changed into a prime (405606653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535430 + ... + 536186.

Almost surely, 2^405606656 is an apocalyptic number.

405606656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520582272).

405606656 is an abundant number, since it is smaller than the sum of its proper divisors (635557888).

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

405606656 is a wasteful number, since it uses less digits than its factorization.

405606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 405606656 is about 20139.6786468901. The cubic root of 405606656 is about 740.2328558649.

The spelling of 405606656 in words is "four hundred five million, six hundred six thousand, six hundred fifty-six".