420889300 has 54 divisors (see below), whose sum is σ = 985317578. Its totient is φ = 155132160.

The previous prime is 420889283. The next prime is 420889307. The reversal of 420889300 is 3988024.

It can be written as a sum of positive squares in 9 ways, for example, as 333354564 + 87534736 = 18258^2 + 9356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420889307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 739416 + ... + 739984.

Almost surely, 2^420889300 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 420889300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492658789).

420889300 is an abundant number, since it is smaller than the sum of its proper divisors (564428278).

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

420889300 is a wasteful number, since it uses less digits than its factorization.

420889300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 420889300 is about 20515.5867573901. The cubic root of 420889300 is about 749.4154259641.

The spelling of 420889300 in words is "four hundred twenty million, eight hundred eighty-nine thousand, three hundred".