406601160 has 128 divisors (see below), whose sum is σ = 1420519680. Its totient is φ = 91173888.

The previous prime is 406601137. The next prime is 406601161. The reversal of 406601160 is 61106604.

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 406601160.

It is not an unprimeable number, because it can be changed into a prime (406601161) 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, 39954 + ... + 49086.

It is an arithmetic number, because the mean of its divisors is an integer number (11097810).

Almost surely, 2^406601160 is an apocalyptic number.

406601160 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 406601160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710259840).

406601160 is an abundant number, since it is smaller than the sum of its proper divisors (1013918520).

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

406601160 is a wasteful number, since it uses less digits than its factorization.

406601160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9207 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 406601160 is about 20164.3536965607. The cubic root of 406601160 is about 740.8373525926.

Adding to 406601160 its reverse (61106604), we get a palindrome (467707764).

The spelling of 406601160 in words is "four hundred six million, six hundred one thousand, one hundred sixty".