512574480 has 560 divisors, whose sum is σ = 2107793664. Its totient is φ = 114462720.

The previous prime is 512574467. The next prime is 512574487. The reversal of 512574480 is 84475215.

512574480 is a `hidden beast` number, since 5 + 1 + 2 + 574 + 4 + 80 = 666.

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 (512574487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10905817 + ... + 10905863.

Almost surely, 2^512574480 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 512574480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053896832).

512574480 is an abundant number, since it is smaller than the sum of its proper divisors (1595219184).

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

512574480 is a wasteful number, since it uses less digits than its factorization.

512574480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 512574480 is about 22640.1077735951. The cubic root of 512574480 is about 800.2990964960.

The spelling of 512574480 in words is "five hundred twelve million, five hundred seventy-four thousand, four hundred eighty".