510249696 has 192 divisors, whose sum is σ = 1585495296. Its totient is φ = 141926400.

The previous prime is 510249673. The next prime is 510249697. The reversal of 510249696 is 696942015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510249697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771606 + ... + 772266.

It is an arithmetic number, because the mean of its divisors is an integer number (8257788).

Almost surely, 2^510249696 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 510249696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792747648).

510249696 is an abundant number, since it is smaller than the sum of its proper divisors (1075245600).

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

510249696 is a wasteful number, since it uses less digits than its factorization.

510249696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 510249696 is about 22588.7072671280. The cubic root of 510249696 is about 799.0873425497.

The spelling of 510249696 in words is "five hundred ten million, two hundred forty-nine thousand, six hundred ninety-six".