419899968 has 42 divisors (see below), whose sum is σ = 1203569094. Its totient is φ = 139966464.

The previous prime is 419899919. The next prime is 419899969. The reversal of 419899968 is 869998914.

It can be written as a sum of positive squares in only one way, i.e., 384473664 + 35426304 = 19608^2 + 5952^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419899969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363921 + ... + 365072.

It is an arithmetic number, because the mean of its divisors is an integer number (28656407).

Almost surely, 2^419899968 is an apocalyptic number.

419899968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

419899968 is an abundant number, since it is smaller than the sum of its proper divisors (783669126).

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

419899968 is a wasteful number, since it uses less digits than its factorization.

419899968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729011 (or 728998 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The square root of 419899968 is about 20491.4608556833. The cubic root of 419899968 is about 748.8277794866.

The spelling of 419899968 in words is "four hundred nineteen million, eight hundred ninety-nine thousand, nine hundred sixty-eight".