417448560 has 80 divisors (see below), whose sum is σ = 1302773760. Its totient is φ = 110572800.

The previous prime is 417448531. The next prime is 417448567. The reversal of 417448560 is 65844714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417448567) 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, 30481 + ... + 41999.

It is an arithmetic number, because the mean of its divisors is an integer number (16284672).

Almost surely, 2^417448560 is an apocalyptic number.

417448560 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 417448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651386880).

417448560 is an abundant number, since it is smaller than the sum of its proper divisors (885325200).

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

417448560 is a wasteful number, since it uses less digits than its factorization.

417448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11680 counting only the distinct ones).

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

The square root of 417448560 is about 20431.5579435343. The cubic root of 417448560 is about 747.3676965577.

The spelling of 417448560 in words is "four hundred seventeen million, four hundred forty-eight thousand, five hundred sixty".