484041600 has 432 divisors, whose sum is σ = 2015016120. Its totient is φ = 110638080.

The previous prime is 484041589. The next prime is 484041619. The reversal of 484041600 is 6140484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×484041600³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 69148797 + ... + 69148803.

Almost surely, 2^484041600 is an apocalyptic number.

484041600 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 484041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007508060).

484041600 is an abundant number, since it is smaller than the sum of its proper divisors (1530974520).

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

484041600 is an frugal number, since it uses more digits than its factorization.

484041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 484041600 is about 22000.9454342308. The cubic root of 484041600 is about 785.1649348486.

The spelling of 484041600 in words is "four hundred eighty-four million, forty-one thousand, six hundred".