512488032 has 192 divisors, whose sum is σ = 1613574144. Its totient is φ = 139345920.

The previous prime is 512488027. The next prime is 512488037. The reversal of 512488032 is 230884215.

It is an interprime number because it is at equal distance from previous prime (512488027) and next prime (512488037).

It is a junction number, because it is equal to n+sod(n) for n = 512487984 and 512488002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512488037) 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, 1520568 + ... + 1520904.

It is an arithmetic number, because the mean of its divisors is an integer number (8404032).

Almost surely, 2^512488032 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 512488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806787072).

512488032 is an abundant number, since it is smaller than the sum of its proper divisors (1101086112).

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

512488032 is a wasteful number, since it uses less digits than its factorization.

512488032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 512488032 is about 22638.1985148995. The cubic root of 512488032 is about 800.2541026146.

The spelling of 512488032 in words is "five hundred twelve million, four hundred eighty-eight thousand, thirty-two".