420001200 has 360 divisors, whose sum is σ = 1574118000. Its totient is φ = 107412480.

The previous prime is 420001199. The next prime is 420001207. The reversal of 420001200 is 2100024.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (420001207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2818726 + ... + 2818874.

It is an arithmetic number, because the mean of its divisors is an integer number (4372550).

Almost surely, 2^420001200 is an apocalyptic number.

420001200 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 420001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787059000).

420001200 is an abundant number, since it is smaller than the sum of its proper divisors (1154116800).

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

420001200 is a wasteful number, since it uses less digits than its factorization.

420001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 420001200 is about 20493.9308089005. The cubic root of 420001200 is about 748.8879519471.

Adding to 420001200 its reverse (2100024), we get a palindrome (422101224).

The spelling of 420001200 in words is "four hundred twenty million, one thousand, two hundred".