508416480 has 384 divisors, whose sum is σ = 2093091840. Its totient is φ = 113633280.

The previous prime is 508416463. The next prime is 508416499. The reversal of 508416480 is 84614805.

508416480 is a `hidden beast` number, since 5 + 0 + 8 + 4 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 617349 + ... + 618171.

It is an arithmetic number, because the mean of its divisors is an integer number (5450760).

Almost surely, 2^508416480 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 508416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046545920).

508416480 is an abundant number, since it is smaller than the sum of its proper divisors (1584675360).

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

508416480 is a wasteful number, since it uses less digits than its factorization.

508416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 508416480 is about 22548.0926022580. The cubic root of 508416480 is about 798.1292119335.

The spelling of 508416480 in words is "five hundred eight million, four hundred sixteen thousand, four hundred eighty".