420091200 has 126 divisors (see below), whose sum is σ = 1493154494. Its totient is φ = 112020480.

The previous prime is 420091181. The next prime is 420091213. The reversal of 420091200 is 2190024.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 420086016 = 72^2 + 20496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187 + ... + 28986.

Almost surely, 2^420091200 is an apocalyptic number.

420091200 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 420091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746577247).

420091200 is an abundant number, since it is smaller than the sum of its proper divisors (1073063294).

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

420091200 is a wasteful number, since it uses less digits than its factorization.

420091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 420091200 is about 20496.1264633101. The cubic root of 420091200 is about 748.9414399705.

The spelling of 420091200 in words is "four hundred twenty million, ninety-one thousand, two hundred".