512001420 has 96 divisors (see below), whose sum is σ = 1653861888. Its totient is φ = 115924992.

The previous prime is 512001403. The next prime is 512001431. The reversal of 512001420 is 24100215.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 512001420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39244 + ... + 50636.

It is an arithmetic number, because the mean of its divisors is an integer number (17227728).

Almost surely, 2^512001420 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 512001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826930944).

512001420 is an abundant number, since it is smaller than the sum of its proper divisors (1141860468).

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

512001420 is a wasteful number, since it uses less digits than its factorization.

512001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11519 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 512001420 is about 22627.4483758112. The cubic root of 512001420 is about 800.0007395826. Note that the first 3 decimals are identical.

Adding to 512001420 its reverse (24100215), we get a palindrome (536101635).

The spelling of 512001420 in words is "five hundred twelve million, one thousand, four hundred twenty".