4581628480 has 224 divisors, whose sum is σ = 13042270080. Its totient is φ = 1510932480.

The previous prime is 4581628459. The next prime is 4581628483. The reversal of 4581628480 is 848261854.

It is a super-2 number, since 2×4581628480² = 41982639057494220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4581628480.

It is not an unprimeable number, because it can be changed into a prime (4581628483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2698992 + ... + 2700688.

It is an arithmetic number, because the mean of its divisors is an integer number (58224420).

Almost surely, 2^4581628480 is an apocalyptic number.

4581628480 is a gapful number since it is divisible by the number (40) 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 4581628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521135040).

4581628480 is an abundant number, since it is smaller than the sum of its proper divisors (8460641600).

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

4581628480 is a wasteful number, since it uses less digits than its factorization.

4581628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 4581628480 is about 67687.7276912145. The cubic root of 4581628480 is about 1660.8865057288.

The spelling of 4581628480 in words is "four billion, five hundred eighty-one million, six hundred twenty-eight thousand, four hundred eighty".