419104920 has 256 divisors, whose sum is σ = 1427207040. Its totient is φ = 97763328.

The previous prime is 419104913. The next prime is 419104937. The reversal of 419104920 is 29401914.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3059092 + ... + 3059228.

Almost surely, 2^419104920 is an apocalyptic number.

419104920 is a gapful number since it is divisible by the number (40) 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 419104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713603520).

419104920 is an abundant number, since it is smaller than the sum of its proper divisors (1008102120).

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

419104920 is a wasteful number, since it uses less digits than its factorization.

419104920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 419104920 is about 20472.0521687495. The cubic root of 419104920 is about 748.3548651246.

It can be divided in two parts, 419104 and 920, that added together give a palindrome (420024).

The spelling of 419104920 in words is "four hundred nineteen million, one hundred four thousand, nine hundred twenty".