512677440 has 168 divisors, whose sum is σ = 1923824448. Its totient is φ = 124277760.

The previous prime is 512677409. The next prime is 512677481. The reversal of 512677440 is 44776215.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 512677395 and 512677404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23589 + ... + 39771.

It is an arithmetic number, because the mean of its divisors is an integer number (11451336).

Almost surely, 2^512677440 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 512677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961912224).

512677440 is an abundant number, since it is smaller than the sum of its proper divisors (1411147008).

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

512677440 is a wasteful number, since it uses less digits than its factorization.

512677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16217 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 512677440 is about 22642.3815001868. The cubic root of 512677440 is about 800.3526778334.

The spelling of 512677440 in words is "five hundred twelve million, six hundred seventy-seven thousand, four hundred forty".