514982496 has 192 divisors, whose sum is σ = 1664893440. Its totient is φ = 136028160.

The previous prime is 514982483. The next prime is 514982497. The reversal of 514982496 is 694289415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514982497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696495 + ... + 697233.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320).

Almost surely, 2^514982496 is an apocalyptic number.

514982496 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 514982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832446720).

514982496 is an abundant number, since it is smaller than the sum of its proper divisors (1149910944).

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

514982496 is a wasteful number, since it uses less digits than its factorization.

514982496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 514982496 is about 22693.2257733448. The cubic root of 514982496 is about 801.5503768071.

The spelling of 514982496 in words is "five hundred fourteen million, nine hundred eighty-two thousand, four hundred ninety-six".