581676480 has 672 divisors, whose sum is σ = 2594262528. Its totient is φ = 116121600.

The previous prime is 581676479. The next prime is 581676521. The reversal of 581676480 is 84676185.

It is a happy number.

581676480 is a `hidden beast` number, since 5 + 8 + 167 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9535650 + ... + 9535710.

Almost surely, 2^581676480 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 581676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297131264).

581676480 is an abundant number, since it is smaller than the sum of its proper divisors (2012586048).

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

581676480 is a wasteful number, since it uses less digits than its factorization.

581676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 581676480 is about 24117.9700638341. The cubic root of 581676480 is about 834.7578295407.

The spelling of 581676480 in words is "five hundred eighty-one million, six hundred seventy-six thousand, four hundred eighty".