419828220 has 72 divisors (see below), whose sum is σ = 1455408864. Its totient is φ = 95960448.

The previous prime is 419828207. The next prime is 419828249. The reversal of 419828220 is 22828914.

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

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 23 ways as a sum of consecutive naturals, for example, 165339 + ... + 167858.

It is an arithmetic number, because the mean of its divisors is an integer number (20214012).

Almost surely, 2^419828220 is an apocalyptic number.

It is an amenable number.

419828220 is an abundant number, since it is smaller than the sum of its proper divisors (1035580644).

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

419828220 is a wasteful number, since it uses less digits than its factorization.

419828220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333219 (or 333214 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 419828220 is about 20489.7101004382. The cubic root of 419828220 is about 748.7851265057.

The spelling of 419828220 in words is "four hundred nineteen million, eight hundred twenty-eight thousand, two hundred twenty".