420198912 has 180 divisors, whose sum is σ = 1411476066. Its totient is φ = 119992320.

The previous prime is 420198901. The next prime is 420198943. The reversal of 420198912 is 219891024.

It can be written as a sum of positive squares in only one way, i.e., 420086016 + 112896 = 20496^2 + 336^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224862 + ... + 226722.

Almost surely, 2^420198912 is an apocalyptic number.

420198912 is a gapful number since it is divisible by the number (42) 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 420198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705738033).

420198912 is an abundant number, since it is smaller than the sum of its proper divisors (991277154).

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

420198912 is a wasteful number, since it uses less digits than its factorization.

420198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 420198912 is about 20498.7539133480. The cubic root of 420198912 is about 749.0054443952.

The spelling of 420198912 in words is "four hundred twenty million, one hundred ninety-eight thousand, nine hundred twelve".