512007840 has 144 divisors (see below), whose sum is σ = 1764086688. Its totient is φ = 135218688.

The previous prime is 512007823. The next prime is 512007851. The reversal of 512007840 is 48700215.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 152419 + ... + 155741.

It is an arithmetic number, because the mean of its divisors is an integer number (12250602).

Almost surely, 2^512007840 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 512007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882043344).

512007840 is an abundant number, since it is smaller than the sum of its proper divisors (1252078848).

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

512007840 is a wasteful number, since it uses less digits than its factorization.

512007840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 512007840 is about 22627.5902384677. The cubic root of 512007840 is about 800.0040833125.

The spelling of 512007840 in words is "five hundred twelve million, seven thousand, eight hundred forty".