510794240 has 240 divisors, whose sum is σ = 1440048456. Its totient is φ = 173015040.

The previous prime is 510794209. The next prime is 510794279. The reversal of 510794240 is 42497015.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 453519616 + 57274624 = 21296^2 + 7568^2 .

It is a super-3 number, since 3×510794240³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 510794197 and 510794206.

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 23 ways as a sum of consecutive naturals, for example, 5265872 + ... + 5265968.

Almost surely, 2^510794240 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 510794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720024228).

510794240 is an abundant number, since it is smaller than the sum of its proper divisors (929254216).

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

510794240 is a wasteful number, since it uses less digits than its factorization.

510794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 510794240 is about 22600.7575094287. The cubic root of 510794240 is about 799.3715063740.

The spelling of 510794240 in words is "five hundred ten million, seven hundred ninety-four thousand, two hundred forty".