484344000 has 504 divisors, whose sum is σ = 2046024864. Its totient is φ = 107136000.

The previous prime is 484343987. The next prime is 484344011. The reversal of 484344000 is 443484.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×484344000² = 469178220672000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15623985 + ... + 15624015.

Almost surely, 2^484344000 is an apocalyptic number.

484344000 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 484344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023012432).

484344000 is an abundant number, since it is smaller than the sum of its proper divisors (1561680864).

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

484344000 is a wasteful number, since it uses less digits than its factorization.

484344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 484344000 is about 22007.8167931306. The cubic root of 484344000 is about 785.3284087103.

Adding to 484344000 its reverse (443484), we get a palindrome (484787484).

The spelling of 484344000 in words is "four hundred eighty-four million, three hundred forty-four thousand".