508363240 has 384 divisors, whose sum is σ = 1639958400. Its totient is φ = 139345920.

The previous prime is 508363153. The next prime is 508363249. The reversal of 508363240 is 42363805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508363249) 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 95 ways as a sum of consecutive naturals, for example, 6963844 + ... + 6963916.

It is an arithmetic number, because the mean of its divisors is an integer number (4270725).

Almost surely, 2^508363240 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 508363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819979200).

508363240 is an abundant number, since it is smaller than the sum of its proper divisors (1131595160).

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

508363240 is a wasteful number, since it uses less digits than its factorization.

508363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 508363240 is about 22546.9119836842. The cubic root of 508363240 is about 798.1013516495.

The spelling of 508363240 in words is "five hundred eight million, three hundred sixty-three thousand, two hundred forty".