417984261 has 16 divisors (see below), whose sum is σ = 576064320. Its totient is φ = 269435520.

The previous prime is 417984251. The next prime is 417984263. The reversal of 417984261 is 162489714.

It is not a de Polignac number, because 417984261 - 2¹⁴ = 417967877 is a prime.

It is a super-2 number, since 2×417984261² = 349421684887432242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417984263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8560 + ... + 30153.

It is an arithmetic number, because the mean of its divisors is an integer number (36004020).

Almost surely, 2^417984261 is an apocalyptic number.

It is an amenable number.

417984261 is a deficient number, since it is larger than the sum of its proper divisors (158080059).

417984261 is a wasteful number, since it uses less digits than its factorization.

417984261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38836.

The product of its digits is 96768, while the sum is 42.

The square root of 417984261 is about 20444.6633868107. The cubic root of 417984261 is about 747.6872524848.

The spelling of 417984261 in words is "four hundred seventeen million, nine hundred eighty-four thousand, two hundred sixty-one".