508779440 has 160 divisors (see below), whose sum is σ = 1349246976. Its totient is φ = 177085440.

The previous prime is 508779437. The next prime is 508779457. The reversal of 508779440 is 44977805.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 508779391 and 508779400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386137 + ... + 1386503.

Almost surely, 2^508779440 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 508779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674623488).

508779440 is an abundant number, since it is smaller than the sum of its proper divisors (840467536).

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

508779440 is a wasteful number, since it uses less digits than its factorization.

508779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 508779440 is about 22556.1397406560. The cubic root of 508779440 is about 798.3190956744.

The spelling of 508779440 in words is "five hundred eight million, seven hundred seventy-nine thousand, four hundred forty".