482144256 has 312 divisors, whose sum is σ = 1610022960. Its totient is φ = 137625600.

The previous prime is 482144249. The next prime is 482144263. The reversal of 482144256 is 652441284.

It is an interprime number because it is at equal distance from previous prime (482144249) and next prime (482144263).

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

It is a self number, because there is not a number n which added to its sum of digits gives 482144256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11759596 + ... + 11759636.

It is an arithmetic number, because the mean of its divisors is an integer number (5160330).

Almost surely, 2^482144256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805011480).

482144256 is an abundant number, since it is smaller than the sum of its proper divisors (1127878704).

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

482144256 is a wasteful number, since it uses less digits than its factorization.

482144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 482144256 is about 21957.7834946973. The cubic root of 482144256 is about 784.1376962089.

The spelling of 482144256 in words is "four hundred eighty-two million, one hundred forty-four thousand, two hundred fifty-six".