512628480 has 576 divisors, whose sum is σ = 2252651520. Its totient is φ = 107495424.

The previous prime is 512628469. The next prime is 512628481. The reversal of 512628480 is 84826215.

512628480 is a `hidden beast` number, since 512 + 62 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×512628480² = 525575917014220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512628481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144879 + ... + 3145041.

Almost surely, 2^512628480 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 512628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126325760).

512628480 is an abundant number, since it is smaller than the sum of its proper divisors (1740023040).

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

512628480 is a wasteful number, since it uses less digits than its factorization.

512628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 512628480 is about 22641.3003160154. The cubic root of 512628480 is about 800.3271994907.

The spelling of 512628480 in words is "five hundred twelve million, six hundred twenty-eight thousand, four hundred eighty".