576132480 has 512 divisors, whose sum is σ = 2549836800. Its totient is φ = 119439360.

The previous prime is 576132449. The next prime is 576132481. The reversal of 576132480 is 84231675.

576132480 is a `hidden beast` number, since 576 + 1 + 3 + 2 + 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 (576132481) 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 63 ways as a sum of consecutive naturals, for example, 1330344 + ... + 1330776.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^576132480 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 576132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

576132480 is an abundant number, since it is smaller than the sum of its proper divisors (1973704320).

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

576132480 is a wasteful number, since it uses less digits than its factorization.

576132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 576132480 is about 24002.7598413182. The cubic root of 576132480 is about 832.0973135681.

The spelling of 576132480 in words is "five hundred seventy-six million, one hundred thirty-two thousand, four hundred eighty".