484212960 has 432 divisors, whose sum is σ = 2080941408. Its totient is φ = 100362240.

The previous prime is 484212959. The next prime is 484212973. The reversal of 484212960 is 69212484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219482 + ... + 1219878.

It is an arithmetic number, because the mean of its divisors is an integer number (4816994).

Almost surely, 2^484212960 is an apocalyptic number.

484212960 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 484212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040470704).

484212960 is an abundant number, since it is smaller than the sum of its proper divisors (1596728448).

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

484212960 is a wasteful number, since it uses less digits than its factorization.

484212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 484212960 is about 22004.8394677171. The cubic root of 484212960 is about 785.2575783935.

It can be divided in two parts, 484 and 212960, that added together give a square (213444 = 462²).

The spelling of 484212960 in words is "four hundred eighty-four million, two hundred twelve thousand, nine hundred sixty".