512772390 has 128 divisors (see below), whose sum is σ = 1484582400. Its totient is φ = 125193600.

The previous prime is 512772371. The next prime is 512772391. The reversal of 512772390 is 93277215.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512772391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487365 + ... + 488415.

It is an arithmetic number, because the mean of its divisors is an integer number (11598300).

Almost surely, 2^512772390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512772390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742291200).

512772390 is an abundant number, since it is smaller than the sum of its proper divisors (971810010).

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

512772390 is a wasteful number, since it uses less digits than its factorization.

512772390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 512772390 is about 22644.4781348566. The cubic root of 512772390 is about 800.4020843347.

The spelling of 512772390 in words is "five hundred twelve million, seven hundred seventy-two thousand, three hundred ninety".