511847680 has 72 divisors (see below), whose sum is σ = 1268404200. Its totient is φ = 197664768.

The previous prime is 511847671. The next prime is 511847683. The reversal of 511847680 is 86748115.

It can be written as a sum of positive squares in 4 ways, for example, as 183223296 + 328624384 = 13536^2 + 18128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511847683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30226 + ... + 44014.

It is an arithmetic number, because the mean of its divisors is an integer number (17616725).

Almost surely, 2^511847680 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 511847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634202100).

511847680 is an abundant number, since it is smaller than the sum of its proper divisors (756556520).

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

511847680 is a wasteful number, since it uses less digits than its factorization.

511847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13839 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 511847680 is about 22624.0509193204. The cubic root of 511847680 is about 799.9206587981.

The spelling of 511847680 in words is "five hundred eleven million, eight hundred forty-seven thousand, six hundred eighty".