508779040 has 192 divisors, whose sum is σ = 1525402368. Its totient is φ = 155750400.

The previous prime is 508779031. The next prime is 508779041. The reversal of 508779040 is 40977805.

It is a super-2 number, since 2×508779040² = 517712223086643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 508778984 and 508779002.

It is not an unprimeable number, because it can be changed into a prime (508779041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751182 + ... + 751858.

It is an arithmetic number, because the mean of its divisors is an integer number (7944804).

Almost surely, 2^508779040 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 508779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762701184).

508779040 is an abundant number, since it is smaller than the sum of its proper divisors (1016623328).

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

508779040 is a wasteful number, since it uses less digits than its factorization.

508779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 508779040 is about 22556.1308738888. The cubic root of 508779040 is about 798.3188864628.

The spelling of 508779040 in words is "five hundred eight million, seven hundred seventy-nine thousand, forty".