408104160 has 192 divisors, whose sum is σ = 1337394240. Its totient is φ = 104529920.

The previous prime is 408104141. The next prime is 408104167. The reversal of 408104160 is 61401804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 408104160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408104167) 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, 1751404 + ... + 1751636.

It is an arithmetic number, because the mean of its divisors is an integer number (6965595).

Almost surely, 2^408104160 is an apocalyptic number.

408104160 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 408104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668697120).

408104160 is an abundant number, since it is smaller than the sum of its proper divisors (929290080).

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

408104160 is a wasteful number, since it uses less digits than its factorization.

408104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 408104160 is about 20201.5880563880. The cubic root of 408104160 is about 741.7490645033.

Adding to 408104160 its reverse (61401804), we get a palindrome (469505964).

The spelling of 408104160 in words is "four hundred eight million, one hundred four thousand, one hundred sixty".