419364864 has 170 divisors, whose sum is σ = 1268767280. Its totient is φ = 138018816.

The previous prime is 419364811. The next prime is 419364877. The reversal of 419364864 is 468463914.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308377 + ... + 5308455.

Almost surely, 2^419364864 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 419364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634383640).

419364864 is an abundant number, since it is smaller than the sum of its proper divisors (849402416).

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

419364864 is an frugal number, since it uses more digits than its factorization.

419364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 419364864 is about 20478.3999374951. The cubic root of 419364864 is about 748.5095520486.

The spelling of 419364864 in words is "four hundred nineteen million, three hundred sixty-four thousand, eight hundred sixty-four".