419031144 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 116049024.

The previous prime is 419031139. The next prime is 419031167. The reversal of 419031144 is 441130914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5048527 + ... + 5048609.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^419031144 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 419031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

419031144 is an abundant number, since it is smaller than the sum of its proper divisors (992662776).

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

419031144 is a wasteful number, since it uses less digits than its factorization.

419031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 419031144 is about 20470.2502183046. The cubic root of 419031144 is about 748.3109510068.

The spelling of 419031144 in words is "four hundred nineteen million, thirty-one thousand, one hundred forty-four".