420958200 has 192 divisors, whose sum is σ = 1454594400. Its totient is φ = 99993600.

The previous prime is 420958177. The next prime is 420958201. The reversal of 420958200 is 2859024.

It is a super-2 number, since 2×420958200² = 354411612294480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420958201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 225270 + ... + 227130.

Almost surely, 2^420958200 is an apocalyptic number.

420958200 is a gapful number since it is divisible by the number (40) 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 420958200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727297200).

420958200 is an abundant number, since it is smaller than the sum of its proper divisors (1033636200).

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

420958200 is a wasteful number, since it uses less digits than its factorization.

420958200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 420958200 is about 20517.2658997246. The cubic root of 420958200 is about 749.4563170849.

The spelling of 420958200 in words is "four hundred twenty million, nine hundred fifty-eight thousand, two hundred".