512069040 has 480 divisors, whose sum is σ = 2105865216. Its totient is φ = 113218560.

The previous prime is 512069039. The next prime is 512069071. The reversal of 512069040 is 40960215.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 512068995 and 512069013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7212205 + ... + 7212275.

Almost surely, 2^512069040 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 512069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052932608).

512069040 is an abundant number, since it is smaller than the sum of its proper divisors (1593796176).

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

512069040 is a wasteful number, since it uses less digits than its factorization.

512069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 512069040 is about 22628.9425294246. The cubic root of 512069040 is about 800.0359567172.

The spelling of 512069040 in words is "five hundred twelve million, sixty-nine thousand, forty".