508006400 has 234 divisors, whose sum is σ = 1418402706. Its totient is φ = 180224000.

The previous prime is 508006399. The next prime is 508006423. The reversal of 508006400 is 4600805.

It can be written as a sum of positive squares in 3 ways, for example, as 495616 + 507510784 = 704^2 + 22528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12390380 + ... + 12390420.

Almost surely, 2^508006400 is an apocalyptic number.

508006400 is a gapful number since it is divisible by the number (50) 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 508006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709201353).

508006400 is an abundant number, since it is smaller than the sum of its proper divisors (910396306).

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

508006400 is a wasteful number, since it uses less digits than its factorization.

508006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 508006400 is about 22538.9973157636. The cubic root of 508006400 is about 797.9145684428.

The spelling of 508006400 in words is "five hundred eight million, six thousand, four hundred".