484560384 has 320 divisors, whose sum is σ = 1711176192. Its totient is φ = 117964800.

The previous prime is 484560383. The next prime is 484560403. The reversal of 484560384 is 483065484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484560383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010504 + ... + 2010744.

Almost surely, 2^484560384 is an apocalyptic number.

484560384 is a gapful number since it is divisible by the number (44) 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 484560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855588096).

484560384 is an abundant number, since it is smaller than the sum of its proper divisors (1226615808).

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

484560384 is a wasteful number, since it uses less digits than its factorization.

484560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 484560384 is about 22012.7323156395. The cubic root of 484560384 is about 785.4453415806.

The spelling of 484560384 in words is "four hundred eighty-four million, five hundred sixty thousand, three hundred eighty-four".