510420768 has 96 divisors (see below), whose sum is σ = 1574137152. Its totient is φ = 142771200.

The previous prime is 510420749. The next prime is 510420773. The reversal of 510420768 is 867024015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863 + ... + 32318.

It is an arithmetic number, because the mean of its divisors is an integer number (16397262).

Almost surely, 2^510420768 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 510420768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787068576).

510420768 is an abundant number, since it is smaller than the sum of its proper divisors (1063716384).

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

510420768 is a wasteful number, since it uses less digits than its factorization.

510420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37218 (or 37210 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 510420768 is about 22592.4936206697. The cubic root of 510420768 is about 799.1766362141.

The spelling of 510420768 in words is "five hundred ten million, four hundred twenty thousand, seven hundred sixty-eight".