419116672 has 128 divisors (see below), whose sum is σ = 962357760. Its totient is φ = 180314112.

The previous prime is 419116669. The next prime is 419116673. The reversal of 419116672 is 276611914.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419116673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798668 + ... + 1798900.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^419116672 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 419116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

419116672 is an abundant number, since it is smaller than the sum of its proper divisors (543241088).

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

419116672 is a wasteful number, since it uses less digits than its factorization.

419116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 419116672 is about 20472.3391921881. The cubic root of 419116672 is about 748.3618598601.

The spelling of 419116672 in words is "four hundred nineteen million, one hundred sixteen thousand, six hundred seventy-two".