484143647400 has 2304 divisors, whose sum is σ = 2198430720000. Its totient is φ = 97141524480.

The previous prime is 484143647387. The next prime is 484143647401. The reversal of 484143647400 is 4746341484.

It is a happy number.

484143647400 is a `hidden beast` number, since 48 + 4 + 143 + 64 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (484143647401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6128400561 + ... + 6128400639.

It is an arithmetic number, because the mean of its divisors is an integer number (954180000).

Almost surely, 2^484143647400 is an apocalyptic number.

484143647400 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 484143647400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099215360000).

484143647400 is an abundant number, since it is smaller than the sum of its proper divisors (1714287072600).

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

484143647400 is a wasteful number, since it uses less digits than its factorization.

484143647400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

Adding to 484143647400 its reverse (4746341484), we get a palindrome (488889988884).

The spelling of 484143647400 in words is "four hundred eighty-four billion, one hundred forty-three million, six hundred forty-seven thousand, four hundred".