484112400 has 240 divisors, whose sum is σ = 1729800000. Its totient is φ = 115015680.

The previous prime is 484112389. The next prime is 484112407. The reversal of 484112400 is 4211484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (484112407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386976 + ... + 388224.

It is an arithmetic number, because the mean of its divisors is an integer number (7207500).

Almost surely, 2^484112400 is an apocalyptic number.

484112400 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 484112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864900000).

484112400 is an abundant number, since it is smaller than the sum of its proper divisors (1245687600).

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

484112400 is a wasteful number, since it uses less digits than its factorization.

484112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 484112400 is about 22002.5543971603. The cubic root of 484112400 is about 785.2032145938.

Adding to 484112400 its reverse (4211484), we get a palindrome (488323884).

The spelling of 484112400 in words is "four hundred eighty-four million, one hundred twelve thousand, four hundred".