484562400 has 144 divisors (see below), whose sum is σ = 1802634624. Its totient is φ = 110753280.

The previous prime is 484562389. The next prime is 484562417. The reversal of 484562400 is 4265484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379 + ... + 31221.

It is an arithmetic number, because the mean of its divisors is an integer number (12518296).

Almost surely, 2^484562400 is an apocalyptic number.

484562400 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 484562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901317312).

484562400 is an abundant number, since it is smaller than the sum of its proper divisors (1318072224).

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

484562400 is a wasteful number, since it uses less digits than its factorization.

484562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28873 (or 28860 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 484562400 is about 22012.7781072721. The cubic root of 484562400 is about 785.4464308536.

The spelling of 484562400 in words is "four hundred eighty-four million, five hundred sixty-two thousand, four hundred".