512983980 has 144 divisors (see below), whose sum is σ = 1605187584. Its totient is φ = 132531840.

The previous prime is 512983969. The next prime is 512984009. The reversal of 512983980 is 89389215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478167 + ... + 1478513.

It is an arithmetic number, because the mean of its divisors is an integer number (11147136).

Almost surely, 2^512983980 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 512983980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802593792).

512983980 is an abundant number, since it is smaller than the sum of its proper divisors (1092203604).

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

512983980 is a wasteful number, since it uses less digits than its factorization.

512983980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 512983980 is about 22649.1496529119. The cubic root of 512983980 is about 800.5121616264.

It can be divided in two parts, 51298 and 3980, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 512983980 in words is "five hundred twelve million, nine hundred eighty-three thousand, nine hundred eighty".