406412160 has 256 divisors, whose sum is σ = 1615680000. Its totient is φ = 84418560.

The previous prime is 406412143. The next prime is 406412179. The reversal of 406412160 is 61214604.

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 406412160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146466 + ... + 149214.

It is an arithmetic number, because the mean of its divisors is an integer number (6311250).

Almost surely, 2^406412160 is an apocalyptic number.

406412160 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 406412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840000).

406412160 is an abundant number, since it is smaller than the sum of its proper divisors (1209267840).

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

406412160 is a wasteful number, since it uses less digits than its factorization.

406412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 406412160 is about 20159.6666639109. Note that the first 5 decimals coincide. The cubic root of 406412160 is about 740.7225472470.

Adding to 406412160 its reverse (61214604), we get a palindrome (467626764).

The spelling of 406412160 in words is "four hundred six million, four hundred twelve thousand, one hundred sixty".