484408934400 has 360 divisors, whose sum is σ = 1696022541360. Its totient is φ = 121571901440.

The previous prime is 484408934381. The next prime is 484408934407. The reversal of 484408934400 is 4439804484.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 484408934400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484408934407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20878006 + ... + 20901194.

It is an arithmetic number, because the mean of its divisors is an integer number (4711173726).

Almost surely, 2^484408934400 is an apocalyptic number.

484408934400 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 484408934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848011270680).

484408934400 is an abundant number, since it is smaller than the sum of its proper divisors (1211613606960).

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

484408934400 is a wasteful number, since it uses less digits than its factorization.

484408934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23247 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 484408934400 in words is "four hundred eighty-four billion, four hundred eight million, nine hundred thirty-four thousand, four hundred".