1482266304 has 280 divisors, whose sum is σ = 4702302000. Its totient is φ = 460339200.

The previous prime is 1482266293. The next prime is 1482266309. The reversal of 1482266304 is 4036622841.

1482266304 is a `hidden beast` number, since 14 + 8 + 2 + 2 + 6 + 630 + 4 = 666.

It is a super-2 number, since 2×1482266304² = 4394226791947640832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482266309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9948022 + ... + 9948170.

Almost surely, 2^1482266304 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 1482266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351151000).

1482266304 is an abundant number, since it is smaller than the sum of its proper divisors (3220035696).

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

1482266304 is a wasteful number, since it uses less digits than its factorization.

1482266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1482266304 is about 38500.2117396775. The cubic root of 1482266304 is about 1140.1852330586.

The spelling of 1482266304 in words is "one billion, four hundred eighty-two million, two hundred sixty-six thousand, three hundred four".