4584078400 has 168 divisors, whose sum is σ = 12381707520. Its totient is φ = 1656576000.

The previous prime is 4584078371. The next prime is 4584078403. The reversal of 4584078400 is 48704854.

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 (4584078403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184881 + ... + 3186319.

It is an arithmetic number, because the mean of its divisors is an integer number (73700640).

Almost surely, 2^4584078400 is an apocalyptic number.

4584078400 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 4584078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190853760).

4584078400 is an abundant number, since it is smaller than the sum of its proper divisors (7797629120).

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

4584078400 is a wasteful number, since it uses less digits than its factorization.

4584078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 4584078400 is about 67705.8224970349. The cubic root of 4584078400 is about 1661.1824932091.

The spelling of 4584078400 in words is "four billion, five hundred eighty-four million, seventy-eight thousand, four hundred".