4581604480 has 64 divisors (see below), whose sum is σ = 11036710080. Its totient is φ = 1818618880.

The previous prime is 4581604441. The next prime is 4581604481. The reversal of 4581604480 is 844061854.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4581604480² = 41982199222312140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4581604481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56517 + ... + 111163.

It is an arithmetic number, because the mean of its divisors is an integer number (172448595).

Almost surely, 2^4581604480 is an apocalyptic number.

4581604480 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 4581604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518355040).

4581604480 is an abundant number, since it is smaller than the sum of its proper divisors (6455105600).

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

4581604480 is a wasteful number, since it uses less digits than its factorization.

4581604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54797 (or 54785 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 4581604480 is about 67687.5504062601. The cubic root of 4581604480 is about 1660.8836056431.

The spelling of 4581604480 in words is "four billion, five hundred eighty-one million, six hundred four thousand, four hundred eighty".