420454300 has 108 divisors (see below), whose sum is σ = 1082040120. Its totient is φ = 141348480.

The previous prime is 420454259. The next prime is 420454327. The reversal of 420454300 is 3454024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258891 + ... + 260509.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2^420454300 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 420454300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541020060).

420454300 is an abundant number, since it is smaller than the sum of its proper divisors (661585820).

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

420454300 is a wasteful number, since it uses less digits than its factorization.

420454300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 420454300 is about 20504.9823213774. The cubic root of 420454300 is about 749.1571568791.

The spelling of 420454300 in words is "four hundred twenty million, four hundred fifty-four thousand, three hundred".