515647488 has 192 divisors, whose sum is σ = 1485993600. Its totient is φ = 158597120.

The previous prime is 515647487. The next prime is 515647501. The reversal of 515647488 is 884746515.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (515647487) 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 15 ways as a sum of consecutive naturals, for example, 5793748 + ... + 5793836.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^515647488 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 515647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

515647488 is an abundant number, since it is smaller than the sum of its proper divisors (970346112).

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

515647488 is a wasteful number, since it uses less digits than its factorization.

515647488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 515647488 is about 22707.8728197953. The cubic root of 515647488 is about 801.8952398700.

The spelling of 515647488 in words is "five hundred fifteen million, six hundred forty-seven thousand, four hundred eighty-eight".