417970 has 24 divisors (see below), whose sum is σ = 876204. Its totient is φ = 143136.

The previous prime is 417961. The next prime is 417983. The reversal of 417970 is 79714.

It can be written as a sum of positive squares in 2 ways, for example, as 370881 + 47089 = 609^2 + 217^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 916.

2⁴¹⁷⁹⁷⁰ is an apocalyptic number.

417970 is an abundant number, since it is smaller than the sum of its proper divisors (458234).

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

417970 is a wasteful number, since it uses less digits than its factorization.

417970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 417970 is about 646.5059937851. The cubic root of 417970 is about 74.7678749063.

The spelling of 417970 in words is "four hundred seventeen thousand, nine hundred seventy".