508406976 has 224 divisors, whose sum is σ = 1863912960. Its totient is φ = 132019200.

The previous prime is 508406971. The next prime is 508406989. The reversal of 508406976 is 679604805.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508406971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131146 + ... + 134966.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^508406976 is an apocalyptic number.

508406976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

508406976 is an abundant number, since it is smaller than the sum of its proper divisors (1355505984).

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

508406976 is a wasteful number, since it uses less digits than its factorization.

508406976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 508406976 is about 22547.8818517394. The cubic root of 508406976 is about 798.1242386700.

The spelling of 508406976 in words is "five hundred eight million, four hundred six thousand, nine hundred seventy-six".