405829160 has 96 divisors (see below), whose sum is σ = 1011225600. Its totient is φ = 146467200.

The previous prime is 405829159. The next prime is 405829163. The reversal of 405829160 is 61928504.

It is a self number, because there is not a number n which added to its sum of digits gives 405829160.

It is not an unprimeable number, because it can be changed into a prime (405829163) 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 23 ways as a sum of consecutive naturals, for example, 924221 + ... + 924659.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2^405829160 is an apocalyptic number.

405829160 is a gapful number since it is divisible by the number (40) 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 405829160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505612800).

405829160 is an abundant number, since it is smaller than the sum of its proper divisors (605396440).

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

405829160 is a wasteful number, since it uses less digits than its factorization.

405829160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 405829160 is about 20145.2019101323. The cubic root of 405829160 is about 740.3681878511.

The spelling of 405829160 in words is "four hundred five million, eight hundred twenty-nine thousand, one hundred sixty".