510938480 has 80 divisors (see below), whose sum is σ = 1283355360. Its totient is φ = 188058624.

The previous prime is 510938473. The next prime is 510938503. The reversal of 510938480 is 84839015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×510938480² = 522116260689420800, which contains 22 as substring.

It is a congruent number.

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, 460166 + ... + 461274.

It is an arithmetic number, because the mean of its divisors is an integer number (16041942).

Almost surely, 2^510938480 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 510938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641677680).

510938480 is an abundant number, since it is smaller than the sum of its proper divisors (772416880).

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

510938480 is a wasteful number, since it uses less digits than its factorization.

510938480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 510938480 is about 22603.9483276705. The cubic root of 510938480 is about 799.4467424708.

The spelling of 510938480 in words is "five hundred ten million, nine hundred thirty-eight thousand, four hundred eighty".