413457168 has 80 divisors (see below), whose sum is σ = 1111040000. Its totient is φ = 132347520.

The previous prime is 413457151. The next prime is 413457193. The reversal of 413457168 is 861754314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205833 + ... + 207831.

It is an arithmetic number, because the mean of its divisors is an integer number (13888000).

Almost surely, 2^413457168 is an apocalyptic number.

413457168 is a gapful number since it is divisible by the number (48) 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 413457168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555520000).

413457168 is an abundant number, since it is smaller than the sum of its proper divisors (697582832).

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

413457168 is a wasteful number, since it uses less digits than its factorization.

413457168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 413457168 is about 20333.6462052432. The cubic root of 413457168 is about 744.9781042467.

The spelling of 413457168 in words is "four hundred thirteen million, four hundred fifty-seven thousand, one hundred sixty-eight".