502634496 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 123863040.

The previous prime is 502634491. The next prime is 502634513. The reversal of 502634496 is 694436205.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502634491) 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, 16214001 + ... + 16214031.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^502634496 is an apocalyptic number.

502634496 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 502634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

502634496 is an abundant number, since it is smaller than the sum of its proper divisors (1258543104).

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

502634496 is a wasteful number, since it uses less digits than its factorization.

502634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 502634496 is about 22419.5115022607. The cubic root of 502634496 is about 795.0920853738.

The spelling of 502634496 in words is "five hundred two million, six hundred thirty-four thousand, four hundred ninety-six".