417686490 has 128 divisors (see below), whose sum is σ = 1210245120. Its totient is φ = 101896704.

The previous prime is 417686471. The next prime is 417686501. The reversal of 417686490 is 94686714.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445302 + ... + 446238.

It is an arithmetic number, because the mean of its divisors is an integer number (9455040).

Almost surely, 2^417686490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417686490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605122560).

417686490 is an abundant number, since it is smaller than the sum of its proper divisors (792558630).

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

417686490 is a wasteful number, since it uses less digits than its factorization.

417686490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 417686490 is about 20437.3797244167. The cubic root of 417686490 is about 747.5096600952.

The spelling of 417686490 in words is "four hundred seventeen million, six hundred eighty-six thousand, four hundred ninety".