417990 has 16 divisors (see below), whose sum is σ = 1003248. Its totient is φ = 111456.

The previous prime is 417983. The next prime is 417997. The reversal of 417990 is 99714.

It is an interprime number because it is at equal distance from previous prime (417983) and next prime (417997).

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 13933 = 417990 / (4 + 1 + 7 + 9 + 9 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417997) by changing a digit.

417990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6937 + ... + 6996.

It is an arithmetic number, because the mean of its divisors is an integer number (62703).

2⁴¹⁷⁹⁹⁰ is an apocalyptic number.

417990 is an abundant number, since it is smaller than the sum of its proper divisors (585258).

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

417990 is a wasteful number, since it uses less digits than its factorization.

417990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13943.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 417990 is about 646.5214613607. The cubic root of 417990 is about 74.7690674430.

The spelling of 417990 in words is "four hundred seventeen thousand, nine hundred ninety".