417324160 has 192 divisors, whose sum is σ = 1164776760. Its totient is φ = 142376960.

The previous prime is 417324133. The next prime is 417324161. The reversal of 417324160 is 61423714.

It can be written as a sum of positive squares in 4 ways, for example, as 288456256 + 128867904 = 16984^2 + 11352^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417324161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316322 + ... + 1316638.

Almost surely, 2^417324160 is an apocalyptic number.

417324160 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 417324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582388380).

417324160 is an abundant number, since it is smaller than the sum of its proper divisors (747452600).

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

417324160 is a wasteful number, since it uses less digits than its factorization.

417324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 417324160 is about 20428.5134065110. The cubic root of 417324160 is about 747.2934504611.

Adding to 417324160 its reverse (61423714), we get a palindrome (478747874).

The spelling of 417324160 in words is "four hundred seventeen million, three hundred twenty-four thousand, one hundred sixty".