419850368 has 64 divisors (see below), whose sum is σ = 958718400. Its totient is φ = 179407872.

The previous prime is 419850283. The next prime is 419850383. The reversal of 419850368 is 863058914.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554246 + ... + 555002.

It is an arithmetic number, because the mean of its divisors is an integer number (14979975).

Almost surely, 2^419850368 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 419850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479359200).

419850368 is an abundant number, since it is smaller than the sum of its proper divisors (538868032).

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

419850368 is an equidigital number, since it uses as much as digits as its factorization.

419850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 419850368 is about 20490.2505597174. The cubic root of 419850368 is about 748.7982936382.

The spelling of 419850368 in words is "four hundred nineteen million, eight hundred fifty thousand, three hundred sixty-eight".