512400984 has 64 divisors (see below), whose sum is σ = 1331374080. Its totient is φ = 164160000.

The previous prime is 512400947. The next prime is 512400989. The reversal of 512400984 is 489004215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512400989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110064 + ... + 114624.

It is an arithmetic number, because the mean of its divisors is an integer number (20802720).

Almost surely, 2^512400984 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 512400984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665687040).

512400984 is an abundant number, since it is smaller than the sum of its proper divisors (818973096).

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

512400984 is a wasteful number, since it uses less digits than its factorization.

512400984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 512400984 is about 22636.2758421080. The cubic root of 512400984 is about 800.2087913363.

The spelling of 512400984 in words is "five hundred twelve million, four hundred thousand, nine hundred eighty-four".