482729220 has 168 divisors, whose sum is σ = 1538585496. Its totient is φ = 127153152.

The previous prime is 482729207. The next prime is 482729237. The reversal of 482729220 is 22927284.

It is a happy number.

482729220 is a `hidden beast` number, since 482 + 72 + 92 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 448084224 = 5886^2 + 21168^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1647394 + ... + 1647686.

It is an arithmetic number, because the mean of its divisors is an integer number (9158247).

Almost surely, 2^482729220 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 482729220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769292748).

482729220 is an abundant number, since it is smaller than the sum of its proper divisors (1055856276).

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

482729220 is a wasteful number, since it uses less digits than its factorization.

482729220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 482729220 is about 21971.0996538635. The cubic root of 482729220 is about 784.4546877447.

The spelling of 482729220 in words is "four hundred eighty-two million, seven hundred twenty-nine thousand, two hundred twenty".