519872640 has 256 divisors, whose sum is σ = 1936465920. Its totient is φ = 116158464.

The previous prime is 519872627. The next prime is 519872651. The reversal of 519872640 is 46278915.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 519872592 and 519872601.

It is an unprimeable number.

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, 631269 + ... + 632091.

It is an arithmetic number, because the mean of its divisors is an integer number (7564320).

Almost surely, 2^519872640 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 519872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968232960).

519872640 is an abundant number, since it is smaller than the sum of its proper divisors (1416593280).

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

519872640 is a wasteful number, since it uses less digits than its factorization.

519872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 519872640 is about 22800.7157782382. The cubic root of 519872640 is about 804.0794951223.

The spelling of 519872640 in words is "five hundred nineteen million, eight hundred seventy-two thousand, six hundred forty".