484968000 has 336 divisors, whose sum is σ = 1770717312. Its totient is φ = 116864000.

The previous prime is 484967971. The next prime is 484968007. The reversal of 484968000 is 869484.

It is a super-2 number, since 2×484968000² = 470387922048000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 484968000.

It is not an unprimeable number, because it can be changed into a prime (484968007) 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, 2903917 + ... + 2904083.

It is an arithmetic number, because the mean of its divisors is an integer number (5269992).

Almost surely, 2^484968000 is an apocalyptic number.

484968000 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 484968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885358656).

484968000 is an abundant number, since it is smaller than the sum of its proper divisors (1285749312).

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

484968000 is a wasteful number, since it uses less digits than its factorization.

484968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 484968000 is about 22021.9890109863. The cubic root of 484968000 is about 785.6655207830.

The spelling of 484968000 in words is "four hundred eighty-four million, nine hundred sixty-eight thousand".