421117200 has 360 divisors, whose sum is σ = 1770208128. Its totient is φ = 90501120.

The previous prime is 421117199. The next prime is 421117223. The reversal of 421117200 is 2711124.

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

It is a super-2 number, since 2×421117200² = 354679392271680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427909 + ... + 428891.

Almost surely, 2^421117200 is an apocalyptic number.

421117200 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 421117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885104064).

421117200 is an abundant number, since it is smaller than the sum of its proper divisors (1349090928).

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

421117200 is a wasteful number, since it uses less digits than its factorization.

421117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 421117200 is about 20521.1403191928. The cubic root of 421117200 is about 749.5506641835.

Adding to 421117200 its reverse (2711124), we get a palindrome (423828324).

The spelling of 421117200 in words is "four hundred twenty-one million, one hundred seventeen thousand, two hundred".