421513200 has 240 divisors, whose sum is σ = 1549900800. Its totient is φ = 108691200.

The previous prime is 421513193. The next prime is 421513229. The reversal of 421513200 is 2315124.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334171 + ... + 335429.

It is an arithmetic number, because the mean of its divisors is an integer number (6457920).

Almost surely, 2^421513200 is an apocalyptic number.

421513200 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 421513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774950400).

421513200 is an abundant number, since it is smaller than the sum of its proper divisors (1128387600).

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

421513200 is a wasteful number, since it uses less digits than its factorization.

421513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 421513200 is about 20530.7866386069. The cubic root of 421513200 is about 749.7855386810.

Adding to 421513200 its reverse (2315124), we get a palindrome (423828324).

The spelling of 421513200 in words is "four hundred twenty-one million, five hundred thirteen thousand, two hundred".