419020900 has 81 divisors (see below), whose sum is σ = 961328011. Its totient is φ = 158519680.

The previous prime is 419020897. The next prime is 419020907. The reversal of 419020900 is 9020914.

The square root of 419020900 is 20470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 87198244 + 331822656 = 9338^2 + 18216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419020907) 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 26 ways as a sum of consecutive naturals, for example, 4708056 + ... + 4708144.

Almost surely, 2^419020900 is an apocalyptic number.

419020900 is the 20470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419020900

419020900 is an abundant number, since it is smaller than the sum of its proper divisors (542307111).

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

419020900 is a wasteful number, since it uses less digits than its factorization.

419020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 419020900 is about 748.3048530036.

Multiplying 419020900 by its sum of digits (25), we get a square (10475522500 = 102350²).

419020900 divided by its sum of digits (25) gives a square (16760836 = 4094²).

The spelling of 419020900 in words is "four hundred nineteen million, twenty thousand, nine hundred".