416968398 has 80 divisors (see below), whose sum is σ = 1164898944. Its totient is φ = 108300240.

The previous prime is 416968381. The next prime is 416968417. The reversal of 416968398 is 893869614.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4240 + ... + 29187.

Almost surely, 2^416968398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416968398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582449472).

416968398 is an abundant number, since it is smaller than the sum of its proper divisors (747930546).

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

416968398 is a wasteful number, since it uses less digits than its factorization.

416968398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33459 (or 33450 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 416968398 is about 20419.8040637025. The cubic root of 416968398 is about 747.0810382881.

The spelling of 416968398 in words is "four hundred sixteen million, nine hundred sixty-eight thousand, three hundred ninety-eight".