417984828 has 12 divisors (see below), whose sum is σ = 975297960. Its totient is φ = 139328272.

The previous prime is 417984803. The next prime is 417984839. The reversal of 417984828 is 828489714.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×417984828² = 349422632876379168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17416023 + ... + 17416046.

It is an arithmetic number, because the mean of its divisors is an integer number (81274830).

Almost surely, 2^417984828 is an apocalyptic number.

It is an amenable number.

417984828 is an abundant number, since it is smaller than the sum of its proper divisors (557313132).

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

417984828 is a wasteful number, since it uses less digits than its factorization.

417984828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34832076 (or 34832074 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 417984828 is about 20444.6772535054. The cubic root of 417984828 is about 747.6875905664.

The spelling of 417984828 in words is "four hundred seventeen million, nine hundred eighty-four thousand, eight hundred twenty-eight".