419866272 has 144 divisors (see below), whose sum is σ = 1444951872. Its totient is φ = 112896000.

The previous prime is 419866267. The next prime is 419866273. The reversal of 419866272 is 272668914.

It is a happy number.

419866272 is a `hidden beast` number, since 4 + 19 + 8 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (419866273) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28147 + ... + 40397.

It is an arithmetic number, because the mean of its divisors is an integer number (10034388).

Almost surely, 2^419866272 is an apocalyptic number.

419866272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419866272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722475936).

419866272 is an abundant number, since it is smaller than the sum of its proper divisors (1025085600).

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

419866272 is a wasteful number, since it uses less digits than its factorization.

419866272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12280 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 419866272 is about 20490.6386430487. The cubic root of 419866272 is about 748.8077483857.

The spelling of 419866272 in words is "four hundred nineteen million, eight hundred sixty-six thousand, two hundred seventy-two".