482301120 has 168 divisors, whose sum is σ = 1781488944. Its totient is φ = 110229504.

The previous prime is 482301119. The next prime is 482301121. The reversal of 482301120 is 21103284.

It is an interprime number because it is at equal distance from previous prime (482301119) and next prime (482301121).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×482301120² = 465228740706508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (482301121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41914 + ... + 52166.

Almost surely, 2^482301120 is an apocalyptic number.

482301120 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 482301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890744472).

482301120 is an abundant number, since it is smaller than the sum of its proper divisors (1299187824).

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

482301120 is a wasteful number, since it uses less digits than its factorization.

482301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 482301120 is about 21961.3551494438. The cubic root of 482301120 is about 784.2227258357. Note that the first 3 decimals are identical.

The spelling of 482301120 in words is "four hundred eighty-two million, three hundred one thousand, one hundred twenty".