516925440 has 288 divisors, whose sum is σ = 1839801600. Its totient is φ = 134184960.

The previous prime is 516925429. The next prime is 516925441. The reversal of 516925440 is 44529615.

516925440 is a `hidden beast` number, since 51 + 69 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 516925395 and 516925404.

It is not an unprimeable number, because it can be changed into a prime (516925441) 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 23 ways as a sum of consecutive naturals, for example, 6543321 + ... + 6543399.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2^516925440 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 516925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

516925440 is an abundant number, since it is smaller than the sum of its proper divisors (1322876160).

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

516925440 is a wasteful number, since it uses less digits than its factorization.

516925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 516925440 is about 22735.9943701612. The cubic root of 516925440 is about 802.5571508488.

The spelling of 516925440 in words is "five hundred sixteen million, nine hundred twenty-five thousand, four hundred forty".