510474240 has 288 divisors, whose sum is σ = 1839801600. Its totient is φ = 130744320.

The previous prime is 510474227. The next prime is 510474247. The reversal of 510474240 is 42474015.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510474247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672545 + ... + 2672735.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2^510474240 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 510474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

510474240 is an abundant number, since it is smaller than the sum of its proper divisors (1329327360).

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

510474240 is a wasteful number, since it uses less digits than its factorization.

510474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 510474240 is about 22593.6769915833. The cubic root of 510474240 is about 799.2045426550.

The spelling of 510474240 in words is "five hundred ten million, four hundred seventy-four thousand, two hundred forty".