4580454528 has 256 divisors, whose sum is σ = 14651280000. Its totient is φ = 1400426496.

The previous prime is 4580454493. The next prime is 4580454533. The reversal of 4580454528 is 8254540854.

4580454528 is a `hidden beast` number, since 4 + 5 + 80 + 4 + 545 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12085443 + ... + 12085821.

Almost surely, 2^4580454528 is an apocalyptic number.

4580454528 is a gapful number since it is divisible by the number (48) 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 4580454528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640000).

4580454528 is an abundant number, since it is smaller than the sum of its proper divisors (10070825472).

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

4580454528 is a wasteful number, since it uses less digits than its factorization.

4580454528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The square root of 4580454528 is about 67679.0553125559. The cubic root of 4580454528 is about 1660.7446371334.

The spelling of 4580454528 in words is "four billion, five hundred eighty million, four hundred fifty-four thousand, five hundred twenty-eight".