4373478400 has 264 divisors, whose sum is σ = 11559327120. Its totient is φ = 1637744640.

The previous prime is 4373478397. The next prime is 4373478401. The reversal of 4373478400 is 48743734.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4373478401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31923132 + ... + 31923268.

It is an arithmetic number, because the mean of its divisors is an integer number (43785330).

Almost surely, 2^4373478400 is an apocalyptic number.

4373478400 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 4373478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779663560).

4373478400 is an abundant number, since it is smaller than the sum of its proper divisors (7185848720).

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

4373478400 is a wasteful number, since it uses less digits than its factorization.

4373478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 4373478400 is about 66132.2795614970. The cubic root of 4373478400 is about 1635.3435234132.

The spelling of 4373478400 in words is "four billion, three hundred seventy-three million, four hundred seventy-eight thousand, four hundred".