484830950400 has 396 divisors, whose sum is σ = 1782872388492. Its totient is φ = 125791764480.

The previous prime is 484830950381. The next prime is 484830950413. The reversal of 484830950400 is 4059038484.

It is a happy number.

484830950400 is a `hidden beast` number, since 4 + 84 + 83 + 0 + 95 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17500114944 + 467330835456 = 132288^2 + 683616^2 .

It is a super-2 number, since 2×484830950400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8496364 + ... + 8553236.

Almost surely, 2^484830950400 is an apocalyptic number.

484830950400 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 484830950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891436194246).

484830950400 is an abundant number, since it is smaller than the sum of its proper divisors (1298041438092).

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

484830950400 is a wasteful number, since it uses less digits than its factorization.

484830950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56946 (or 56920 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 484830950400 its reverse (4059038484), we get a palindrome (488889988884).

The spelling of 484830950400 in words is "four hundred eighty-four billion, eight hundred thirty million, nine hundred fifty thousand, four hundred".