417476160 has 224 divisors, whose sum is σ = 1486204800. Its totient is φ = 110315520.

The previous prime is 417476117. The next prime is 417476167. The reversal of 417476160 is 61674714.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417476167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822926 + ... + 1823154.

Almost surely, 2^417476160 is an apocalyptic number.

417476160 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 417476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743102400).

417476160 is an abundant number, since it is smaller than the sum of its proper divisors (1068728640).

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

417476160 is a wasteful number, since it uses less digits than its factorization.

417476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 417476160 is about 20432.2333581036. The cubic root of 417476160 is about 747.3841671649.

The spelling of 417476160 in words is "four hundred seventeen million, four hundred seventy-six thousand, one hundred sixty".