509671680 has 288 divisors, whose sum is σ = 1894738944. Its totient is φ = 114352128.

The previous prime is 509671663. The next prime is 509671681. The reversal of 509671680 is 86176905.

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

It is not an unprimeable number, because it can be changed into a prime (509671681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800819 + ... + 1801101.

Almost surely, 2^509671680 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 509671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947369472).

509671680 is an abundant number, since it is smaller than the sum of its proper divisors (1385067264).

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

509671680 is a wasteful number, since it uses less digits than its factorization.

509671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 509671680 is about 22575.9092840133. The cubic root of 509671680 is about 798.7854904746.

The spelling of 509671680 in words is "five hundred nine million, six hundred seventy-one thousand, six hundred eighty".