417665560 has 64 divisors (see below), whose sum is σ = 1015066080. Its totient is φ = 153753600.

The previous prime is 417665531. The next prime is 417665587. The reversal of 417665560 is 65566714.

It is a super-2 number, since 2×417665560² = 348889040020227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 207519 + ... + 209521.

Almost surely, 2^417665560 is an apocalyptic number.

417665560 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 417665560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507533040).

417665560 is an abundant number, since it is smaller than the sum of its proper divisors (597400520).

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

417665560 is a wasteful number, since it uses less digits than its factorization.

417665560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 417665560 is about 20436.8676660588. The cubic root of 417665560 is about 747.4971741447.

The spelling of 417665560 in words is "four hundred seventeen million, six hundred sixty-five thousand, five hundred sixty".