417056484 has 96 divisors (see below), whose sum is σ = 1087313920. Its totient is φ = 123596928.

The previous prime is 417056483. The next prime is 417056501. The reversal of 417056484 is 484650714.

It is a super-2 number, since 2×417056484² = 347872221692884512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (417056483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529539 + ... + 530325.

Almost surely, 2^417056484 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 417056484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543656960).

417056484 is an abundant number, since it is smaller than the sum of its proper divisors (670257436).

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

417056484 is a wasteful number, since it uses less digits than its factorization.

417056484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 417056484 is about 20421.9608265220. The cubic root of 417056484 is about 747.1336423921.

The spelling of 417056484 in words is "four hundred seventeen million, fifty-six thousand, four hundred eighty-four".