512254080 has 192 divisors, whose sum is σ = 1905223320. Its totient is φ = 126074880.

The previous prime is 512254033. The next prime is 512254087. The reversal of 512254080 is 80452215.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 384473664 + 127780416 = 19608^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512254087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71460 + ... + 78300.

Almost surely, 2^512254080 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 512254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952611660).

512254080 is an abundant number, since it is smaller than the sum of its proper divisors (1392969240).

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

512254080 is a wasteful number, since it uses less digits than its factorization.

512254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 512254080 is about 22633.0307294450. The cubic root of 512254080 is about 800.1323114492.

The spelling of 512254080 in words is "five hundred twelve million, two hundred fifty-four thousand, eighty".