4580802400 has 72 divisors (see below), whose sum is σ = 11193502320. Its totient is φ = 1830581760.

The previous prime is 4580802361. The next prime is 4580802403. The reversal of 4580802400 is 42080854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4580802403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141197 + ... + 1145203.

It is an arithmetic number, because the mean of its divisors is an integer number (155465310).

Almost surely, 2^4580802400 is an apocalyptic number.

4580802400 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 4580802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596751160).

4580802400 is an abundant number, since it is smaller than the sum of its proper divisors (6612699920).

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

4580802400 is a wasteful number, since it uses less digits than its factorization.

4580802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 4580802400 is about 67681.6252759935. The cubic root of 4580802400 is about 1660.7866789533.

The spelling of 4580802400 in words is "four billion, five hundred eighty million, eight hundred two thousand, four hundred".