419050368 has 256 divisors, whose sum is σ = 1376755200. Its totient is φ = 124416000.

The previous prime is 419050367. The next prime is 419050393. The reversal of 419050368 is 863050914.

419050368 is a `hidden beast` number, since 4 + 1 + 90 + 503 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419050367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775093 + ... + 2775243.

It is an arithmetic number, because the mean of its divisors is an integer number (5377950).

Almost surely, 2^419050368 is an apocalyptic number.

419050368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688377600).

419050368 is an abundant number, since it is smaller than the sum of its proper divisors (957704832).

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

419050368 is a wasteful number, since it uses less digits than its factorization.

419050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 419050368 is about 20470.7197723969. The cubic root of 419050368 is about 748.3223943168.

The spelling of 419050368 in words is "four hundred nineteen million, fifty thousand, three hundred sixty-eight".