419379880 has 32 divisors (see below), whose sum is σ = 959079240. Its totient is φ = 165000960.

The previous prime is 419379871. The next prime is 419379893. The reversal of 419379880 is 88973914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 249703204 + 169676676 = 15802^2 + 13026^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 83499 + ... + 88378.

Almost surely, 2^419379880 is an apocalyptic number.

419379880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419379880 is an abundant number, since it is smaller than the sum of its proper divisors (539699360).

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

419379880 is a wasteful number, since it uses less digits than its factorization.

419379880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171949 (or 171945 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 419379880 is about 20478.7665644198. The cubic root of 419379880 is about 748.5184857848.

The spelling of 419379880 in words is "four hundred nineteen million, three hundred seventy-nine thousand, eight hundred eighty".