417423360 has 224 divisors, whose sum is σ = 1384035840. Its totient is φ = 107347968.

The previous prime is 417423323. The next prime is 417423367. The reversal of 417423360 is 63324714.

It is a super-2 number, since 2×417423360² = 348484522947379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417423367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283801 + ... + 5283879.

Almost surely, 2^417423360 is an apocalyptic number.

417423360 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 417423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692017920).

417423360 is an abundant number, since it is smaller than the sum of its proper divisors (966612480).

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

417423360 is an equidigital number, since it uses as much as digits as its factorization.

417423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 417423360 is about 20430.9412411665. The cubic root of 417423360 is about 747.3526575431.

The spelling of 417423360 in words is "four hundred seventeen million, four hundred twenty-three thousand, three hundred sixty".