512447040 has 448 divisors, whose sum is σ = 2131161600. Its totient is φ = 113467392.

The previous prime is 512447029. The next prime is 512447053. The reversal of 512447040 is 40744215.

512447040 is a `hidden beast` number, since 512 + 44 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 512446995 and 512447013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237646 + ... + 2237874.

Almost surely, 2^512447040 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 512447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065580800).

512447040 is an abundant number, since it is smaller than the sum of its proper divisors (1618714560).

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

512447040 is a wasteful number, since it uses less digits than its factorization.

512447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 512447040 is about 22637.2931243998. The cubic root of 512447040 is about 800.2327656020.

The spelling of 512447040 in words is "five hundred twelve million, four hundred forty-seven thousand, forty".