421205512 has 128 divisors (see below), whose sum is σ = 1023321600. Its totient is φ = 158054400.

The previous prime is 421205507. The next prime is 421205527. The reversal of 421205512 is 215502124.

It is a super-3 number, since 3×421205512³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498812 + ... + 1499092.

It is an arithmetic number, because the mean of its divisors is an integer number (7994700).

Almost surely, 2^421205512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421205512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511660800).

421205512 is an abundant number, since it is smaller than the sum of its proper divisors (602116088).

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

421205512 is a wasteful number, since it uses less digits than its factorization.

421205512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 421205512 is about 20523.2919386730. The cubic root of 421205512 is about 749.6030563217.

Adding to 421205512 its reverse (215502124), we get a palindrome (636707636).

The spelling of 421205512 in words is "four hundred twenty-one million, two hundred five thousand, five hundred twelve".