512433408 has 144 divisors (see below), whose sum is σ = 1424586240. Its totient is φ = 163387392.

The previous prime is 512433403. The next prime is 512433409. The reversal of 512433408 is 804334215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512433403) 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, 1948285 + ... + 1948547.

It is an arithmetic number, because the mean of its divisors is an integer number (9892960).

Almost surely, 2^512433408 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 512433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293120).

512433408 is an abundant number, since it is smaller than the sum of its proper divisors (912152832).

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

512433408 is a wasteful number, since it uses less digits than its factorization.

512433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 512433408 is about 22636.9920263272. The cubic root of 512433408 is about 800.2256696688.

The spelling of 512433408 in words is "five hundred twelve million, four hundred thirty-three thousand, four hundred eight".