419713616 has 30 divisors (see below), whose sum is σ = 945963450. Its totient is φ = 179876928.

The previous prime is 419713603. The next prime is 419713631. The reversal of 419713616 is 616317914.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 364657216 + 55056400 = 19096^2 + 7420^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 419713616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266891 + ... + 268458.

It is an arithmetic number, because the mean of its divisors is an integer number (31532115).

Almost surely, 2^419713616 is an apocalyptic number.

It is an amenable number.

419713616 is an abundant number, since it is smaller than the sum of its proper divisors (526249834).

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

419713616 is a wasteful number, since it uses less digits than its factorization.

419713616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535371 (or 535358 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 419713616 is about 20486.9132862908. The cubic root of 419713616 is about 748.7169862711.

The spelling of 419713616 in words is "four hundred nineteen million, seven hundred thirteen thousand, six hundred sixteen".