405161568 has 192 divisors, whose sum is σ = 1394749440. Its totient is φ = 111974400.

The previous prime is 405161563. The next prime is 405161569. The reversal of 405161568 is 865161504.

405161568 is a `hidden beast` number, since 40 + 51 + 6 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405161563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186408 + ... + 188568.

It is an arithmetic number, because the mean of its divisors is an integer number (7264320).

Almost surely, 2^405161568 is an apocalyptic number.

405161568 is a gapful number since it is divisible by the number (48) 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 405161568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697374720).

405161568 is an abundant number, since it is smaller than the sum of its proper divisors (989587872).

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

405161568 is a wasteful number, since it uses less digits than its factorization.

405161568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 405161568 is about 20128.6255864627. The cubic root of 405161568 is about 739.9619946393.

The spelling of 405161568 in words is "four hundred five million, one hundred sixty-one thousand, five hundred sixty-eight".