484256000 has 144 divisors (see below), whose sum is σ = 1241975280. Its totient is φ = 188006400.

The previous prime is 484255987. The next prime is 484256009. The reversal of 484256000 is 652484.

It can be written as a sum of positive squares in 8 ways, for example, as 8667136 + 475588864 = 2944^2 + 21808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484256009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183796 + ... + 1184204.

Almost surely, 2^484256000 is an apocalyptic number.

484256000 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 484256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620987640).

484256000 is an abundant number, since it is smaller than the sum of its proper divisors (757719280).

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

484256000 is an equidigital number, since it uses as much as digits as its factorization.

484256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 484256000 is about 22005.8174126752. The cubic root of 484256000 is about 785.2808439727.

The spelling of 484256000 in words is "four hundred eighty-four million, two hundred fifty-six thousand".