482809152 has 336 divisors, whose sum is σ = 1628485440. Its totient is φ = 125411328.

The previous prime is 482809147. The next prime is 482809157. The reversal of 482809152 is 251908284.

It is an interprime number because it is at equal distance from previous prime (482809147) and next prime (482809157).

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 482809152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482809157) 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, 6613788 + ... + 6613860.

Almost surely, 2^482809152 is an apocalyptic number.

482809152 is a gapful number since it is divisible by the number (42) 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 482809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814242720).

482809152 is an abundant number, since it is smaller than the sum of its proper divisors (1145676288).

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

482809152 is a wasteful number, since it uses less digits than its factorization.

482809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 482809152 is about 21972.9186045004. The cubic root of 482809152 is about 784.4979829428.

The spelling of 482809152 in words is "four hundred eighty-two million, eight hundred nine thousand, one hundred fifty-two".