512927040 has 224 divisors, whose sum is σ = 1746138240. Its totient is φ = 127180800.

The previous prime is 512927017. The next prime is 512927047. The reversal of 512927040 is 40729215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 512926989 and 512927007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512927047) 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, 1112410 + ... + 1112870.

It is an arithmetic number, because the mean of its divisors is an integer number (7795260).

Almost surely, 2^512927040 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 512927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873069120).

512927040 is an abundant number, since it is smaller than the sum of its proper divisors (1233211200).

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

512927040 is a wasteful number, since it uses less digits than its factorization.

512927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 512927040 is about 22647.8926171951. The cubic root of 512927040 is about 800.4825422161.

The spelling of 512927040 in words is "five hundred twelve million, nine hundred twenty-seven thousand, forty".