510481140 has 96 divisors (see below), whose sum is σ = 1547728896. Its totient is φ = 124968960.

The previous prime is 510481133. The next prime is 510481177. The reversal of 510481140 is 41184015.

It is a self number, because there is not a number n which added to its sum of digits gives 510481140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148845 + ... + 152235.

It is an arithmetic number, because the mean of its divisors is an integer number (16122176).

Almost surely, 2^510481140 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 510481140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773864448).

510481140 is an abundant number, since it is smaller than the sum of its proper divisors (1037247756).

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

510481140 is a wasteful number, since it uses less digits than its factorization.

510481140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 510481140 is about 22593.8296886561. The cubic root of 510481140 is about 799.2081435461.

The spelling of 510481140 in words is "five hundred ten million, four hundred eighty-one thousand, one hundred forty".