420041200 has 60 divisors (see below), whose sum is σ = 1032659848. Its totient is φ = 164102400.

The previous prime is 420041177. The next prime is 420041207. The reversal of 420041200 is 2140024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420041207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4990 + ... + 29410.

Almost surely, 2^420041200 is an apocalyptic number.

420041200 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 420041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516329924).

420041200 is an abundant number, since it is smaller than the sum of its proper divisors (612618648).

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

420041200 is a wasteful number, since it uses less digits than its factorization.

420041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24482 (or 24471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 420041200 is about 20494.9066843448. The cubic root of 420041200 is about 748.9117253452.

Adding to 420041200 its reverse (2140024), we get a palindrome (422181224).

The spelling of 420041200 in words is "four hundred twenty million, forty-one thousand, two hundred".