507338496 has 216 divisors, whose sum is σ = 1696356480. Its totient is φ = 142829568.

The previous prime is 507338483. The next prime is 507338501. The reversal of 507338496 is 694833705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338435 + ... + 1338813.

Almost surely, 2^507338496 is an apocalyptic number.

507338496 is a gapful number since it is divisible by the number (56) 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 507338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848178240).

507338496 is an abundant number, since it is smaller than the sum of its proper divisors (1189017984).

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

507338496 is a wasteful number, since it uses less digits than its factorization.

507338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 507338496 is about 22524.1758117806. The cubic root of 507338496 is about 797.5647276663.

The spelling of 507338496 in words is "five hundred seven million, three hundred thirty-eight thousand, four hundred ninety-six".