512369920 has 72 divisors (see below), whose sum is σ = 1231170696. Its totient is φ = 204300288.

The previous prime is 512369881. The next prime is 512369939. The reversal of 512369920 is 29963215.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 495329536 = 4128^2 + 22256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 512369920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784314 + ... + 784966.

It is an arithmetic number, because the mean of its divisors is an integer number (17099593).

Almost surely, 2^512369920 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 512369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615585348).

512369920 is an abundant number, since it is smaller than the sum of its proper divisors (718800776).

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

512369920 is an equidigital number, since it uses as much as digits as its factorization.

512369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 512369920 is about 22635.5896764365. The cubic root of 512369920 is about 800.1926202847.

The spelling of 512369920 in words is "five hundred twelve million, three hundred sixty-nine thousand, nine hundred twenty".