508315440 has 80 divisors (see below), whose sum is σ = 1601656416. Its totient is φ = 133324800.

The previous prime is 508315439. The next prime is 508315441. The reversal of 508315440 is 44513805.

It is an interprime number because it is at equal distance from previous prime (508315439) and next prime (508315441).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 508315398 and 508315407.

It is not an unprimeable number, because it can be changed into a prime (508315441) 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 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 32000.

Almost surely, 2^508315440 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 508315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800828208).

508315440 is an abundant number, since it is smaller than the sum of its proper divisors (1093340976).

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

508315440 is a wasteful number, since it uses less digits than its factorization.

508315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798 (or 34792 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 508315440 is about 22545.8519466442. The cubic root of 508315440 is about 798.0763364390.

The spelling of 508315440 in words is "five hundred eight million, three hundred fifteen thousand, four hundred forty".