482752226250 has 180 divisors, whose sum is σ = 1520430857946. Its totient is φ = 110343240000.

The previous prime is 482752226227. The next prime is 482752226269. The reversal of 482752226250 is 52622257284.

482752226250 is a `hidden beast` number, since 4 + 82 + 7 + 522 + 26 + 25 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10300829049 + 472451397201 = 101493^2 + 687351^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 482752226196 and 482752226205.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 113380 + ... + 989120.

Almost surely, 2^482752226250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482752226250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760215428973).

482752226250 is an abundant number, since it is smaller than the sum of its proper divisors (1037678631696).

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

482752226250 is a wasteful number, since it uses less digits than its factorization.

482752226250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875783 (or 875758 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 482752226250 in words is "four hundred eighty-two billion, seven hundred fifty-two million, two hundred twenty-six thousand, two hundred fifty".