481579776 has 216 divisors, whose sum is σ = 1510802160. Its totient is φ = 151289856.

The previous prime is 481579741. The next prime is 481579789. The reversal of 481579776 is 677975184.

481579776 is a `hidden beast` number, since 481 + 5 + 7 + 97 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

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 23 ways as a sum of consecutive naturals, for example, 2495136 + ... + 2495328.

Almost surely, 2^481579776 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 481579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755401080).

481579776 is an abundant number, since it is smaller than the sum of its proper divisors (1029222384).

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

481579776 is a wasteful number, since it uses less digits than its factorization.

481579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 481579776 is about 21944.9259739011. The cubic root of 481579776 is about 783.8315617598.

The spelling of 481579776 in words is "four hundred eighty-one million, five hundred seventy-nine thousand, seven hundred seventy-six".