484532400 has 360 divisors, whose sum is σ = 1766886912. Its totient is φ = 113344000.

The previous prime is 484532339. The next prime is 484532401. The reversal of 484532400 is 4235484.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484532401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6824365 + ... + 6824435.

Almost surely, 2^484532400 is an apocalyptic number.

484532400 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 484532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883443456).

484532400 is an abundant number, since it is smaller than the sum of its proper divisors (1282354512).

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

484532400 is a wasteful number, since it uses less digits than its factorization.

484532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 484532400 is about 22012.0966743289. The cubic root of 484532400 is about 785.4302211221.

Adding to 484532400 its reverse (4235484), we get a palindrome (488767884).

The spelling of 484532400 in words is "four hundred eighty-four million, five hundred thirty-two thousand, four hundred".