419468140 has 72 divisors (see below), whose sum is σ = 1090182240. Its totient is φ = 132747264.

The previous prime is 419468131. The next prime is 419468143. The reversal of 419468140 is 41864914.

It is a self number, because there is not a number n which added to its sum of digits gives 419468140.

It is not an unprimeable number, because it can be changed into a prime (419468143) 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, 14796 + ... + 32524.

It is an arithmetic number, because the mean of its divisors is an integer number (15141420).

Almost surely, 2^419468140 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 419468140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545091120).

419468140 is an abundant number, since it is smaller than the sum of its proper divisors (670714100).

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

419468140 is a wasteful number, since it uses less digits than its factorization.

419468140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17771 (or 17756 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 419468140 is about 20480.9213659933. The cubic root of 419468140 is about 748.5709915684.

It can be divided in two parts, 41946 and 8140, that added together give a triangular number (50086 = T₃₁₆).

The spelling of 419468140 in words is "four hundred nineteen million, four hundred sixty-eight thousand, one hundred forty".