420009600 has 192 divisors, whose sum is σ = 1406204640. Its totient is φ = 110161920.

The previous prime is 420009593. The next prime is 420009619. The reversal of 420009600 is 6900024.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642874 + ... + 643526.

Almost surely, 2^420009600 is an apocalyptic number.

420009600 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 420009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703102320).

420009600 is an abundant number, since it is smaller than the sum of its proper divisors (986195040).

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

420009600 is a wasteful number, since it uses less digits than its factorization.

420009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 420009600 is about 20494.1357465983. The cubic root of 420009600 is about 748.8929444859.

Adding to 420009600 its reverse (6900024), we get a palindrome (426909624).

The spelling of 420009600 in words is "four hundred twenty million, nine thousand, six hundred".