419043456 has 160 divisors (see below), whose sum is σ = 1343426700. Its totient is φ = 128894976.

The previous prime is 419043409. The next prime is 419043467. The reversal of 419043456 is 654340914.

It can be written as a sum of positive squares in 2 ways, for example, as 364046400 + 54997056 = 19080^2 + 7416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 419043456.

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 19 ways as a sum of consecutive naturals, for example, 133230 + ... + 136338.

Almost surely, 2^419043456 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 419043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671713350).

419043456 is an abundant number, since it is smaller than the sum of its proper divisors (924383244).

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

419043456 is a wasteful number, since it uses less digits than its factorization.

419043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 419043456 is about 20470.5509451993. The cubic root of 419043456 is about 748.3182799085.

The spelling of 419043456 in words is "four hundred nineteen million, forty-three thousand, four hundred fifty-six".