484928400 has 240 divisors, whose sum is σ = 1795117248. Its totient is φ = 110592000.

The previous prime is 484928399. The next prime is 484928407. The reversal of 484928400 is 4829484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×484928400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484928407) 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, 223320 + ... + 225480.

Almost surely, 2^484928400 is an apocalyptic number.

484928400 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 484928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897558624).

484928400 is an abundant number, since it is smaller than the sum of its proper divisors (1310188848).

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

484928400 is a wasteful number, since it uses less digits than its factorization.

484928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 484928400 is about 22021.0898912838. The cubic root of 484928400 is about 785.6441357284.

The spelling of 484928400 in words is "four hundred eighty-four million, nine hundred twenty-eight thousand, four hundred".