406418060 has 48 divisors (see below), whose sum is σ = 888959232. Its totient is φ = 155904000.

The previous prime is 406418057. The next prime is 406418063. The reversal of 406418060 is 60814604.

It is an interprime number because it is at equal distance from previous prime (406418057) and next prime (406418063).

It is not an unprimeable number, because it can be changed into a prime (406418063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67160 + ... + 72960.

It is an arithmetic number, because the mean of its divisors is an integer number (18519984).

Almost surely, 2^406418060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406418060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444479616).

406418060 is an abundant number, since it is smaller than the sum of its proper divisors (482541172).

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

406418060 is a wasteful number, since it uses less digits than its factorization.

406418060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 406418060 is about 20159.8129951644. The cubic root of 406418060 is about 740.7261316557.

The spelling of 406418060 in words is "four hundred six million, four hundred eighteen thousand, sixty".