417885480 has 160 divisors (see below), whose sum is σ = 1419576840. Its totient is φ = 110246400.

The previous prime is 417885469. The next prime is 417885491. The reversal of 417885480 is 84588714.

It is an interprime number because it is at equal distance from previous prime (417885469) and next prime (417885491).

It can be written as a sum of positive squares in 4 ways, for example, as 414448164 + 3437316 = 20358^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326602 + ... + 327878.

Almost surely, 2^417885480 is an apocalyptic number.

417885480 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 417885480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709788420).

417885480 is an abundant number, since it is smaller than the sum of its proper divisors (1001691360).

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

417885480 is a wasteful number, since it uses less digits than its factorization.

417885480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 417885480 is about 20442.2474302607. The cubic root of 417885480 is about 747.6283482625.

The spelling of 417885480 in words is "four hundred seventeen million, eight hundred eighty-five thousand, four hundred eighty".