576446976 has 480 divisors, whose sum is σ = 2127185280. Its totient is φ = 153280512.

The previous prime is 576446957. The next prime is 576447017. The reversal of 576446976 is 679644675.

576446976 is a `hidden beast` number, since 57 + 64 + 469 + 76 = 666.

It is a super-2 number, since 2×576446976² = 664582232279089152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7620480) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15579630 + ... + 15579666.

It is an arithmetic number, because the mean of its divisors is an integer number (4431636).

Almost surely, 2^576446976 is an apocalyptic number.

576446976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063592640).

576446976 is an abundant number, since it is smaller than the sum of its proper divisors (1550738304).

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

576446976 is a wasteful number, since it uses less digits than its factorization.

576446976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 576446976 is about 24009.3101941726. The cubic root of 576446976 is about 832.2486929142.

It can be divided in two parts, 57644 and 6976, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 576446976 in words is "five hundred seventy-six million, four hundred forty-six thousand, nine hundred seventy-six".