417420990 has 96 divisors (see below), whose sum is σ = 1256186880. Its totient is φ = 94191552.

The previous prime is 417420977. The next prime is 417421003. The reversal of 417420990 is 99024714.

It is an interprime number because it is at equal distance from previous prime (417420977) and next prime (417421003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45577 + ... + 53963.

It is an arithmetic number, because the mean of its divisors is an integer number (13085280).

Almost surely, 2^417420990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417420990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628093440).

417420990 is an abundant number, since it is smaller than the sum of its proper divisors (838765890).

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

417420990 is a wasteful number, since it uses less digits than its factorization.

417420990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 417420990 is about 20430.8832408195. The cubic root of 417420990 is about 747.3512431285.

The spelling of 417420990 in words is "four hundred seventeen million, four hundred twenty thousand, nine hundred ninety".