482094144 has 504 divisors, whose sum is σ = 1806854400. Its totient is φ = 121927680.

The previous prime is 482094139. The next prime is 482094167. The reversal of 482094144 is 441490284.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 482094099 and 482094108.

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, 15551409 + ... + 15551439.

Almost surely, 2^482094144 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 482094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903427200).

482094144 is an abundant number, since it is smaller than the sum of its proper divisors (1324760256).

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

482094144 is a wasteful number, since it uses less digits than its factorization.

482094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 482094144 is about 21956.6423662636. The cubic root of 482094144 is about 784.1105286346.

The spelling of 482094144 in words is "four hundred eighty-two million, ninety-four thousand, one hundred forty-four".