510428520 has 256 divisors, whose sum is σ = 1965772800. Its totient is φ = 115395840.

The previous prime is 510428473. The next prime is 510428543. The reversal of 510428520 is 25824015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808605 + ... + 809235.

It is an arithmetic number, because the mean of its divisors is an integer number (7678800).

Almost surely, 2^510428520 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 510428520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982886400).

510428520 is an abundant number, since it is smaller than the sum of its proper divisors (1455344280).

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

510428520 is a wasteful number, since it uses less digits than its factorization.

510428520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 510428520 is about 22592.6651814256. The cubic root of 510428520 is about 799.1806820173.

The spelling of 510428520 in words is "five hundred ten million, four hundred twenty-eight thousand, five hundred twenty".