417015990 has 144 divisors (see below), whose sum is σ = 1195674480. Its totient is φ = 100552320.

The previous prime is 417015979. The next prime is 417016049. The reversal of 417015990 is 99510714.

417015990 is a `hidden beast` number, since 417 + 0 + 159 + 90 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 904360 + ... + 904820.

It is an arithmetic number, because the mean of its divisors is an integer number (8303295).

Almost surely, 2^417015990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417015990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597837240).

417015990 is an abundant number, since it is smaller than the sum of its proper divisors (778658490).

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

417015990 is a wasteful number, since it uses less digits than its factorization.

417015990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 417015990 is about 20420.9693697434. The cubic root of 417015990 is about 747.1094606884.

The spelling of 417015990 in words is "four hundred seventeen million, fifteen thousand, nine hundred ninety".