417961088 has 64 divisors (see below), whose sum is σ = 886788000. Its totient is φ = 195655680.

The previous prime is 417961067. The next prime is 417961091. The reversal of 417961088 is 880169714.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215483 + ... + 217413.

Almost surely, 2^417961088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443394000).

417961088 is an abundant number, since it is smaller than the sum of its proper divisors (468826912).

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

417961088 is a wasteful number, since it uses less digits than its factorization.

417961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 417961088 is about 20444.0966540466. The cubic root of 417961088 is about 747.6734349973.

The spelling of 417961088 in words is "four hundred seventeen million, nine hundred sixty-one thousand, eighty-eight".