480074112 has 192 divisors, whose sum is σ = 1622493600. Its totient is φ = 133373952.

The previous prime is 480074093. The next prime is 480074113. The reversal of 480074112 is 211470084.

480074112 is a `hidden beast` number, since 480 + 0 + 74 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480074113) 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 23 ways as a sum of consecutive naturals, for example, 297564 + ... + 299172.

Almost surely, 2^480074112 is an apocalyptic number.

480074112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811246800).

480074112 is an abundant number, since it is smaller than the sum of its proper divisors (1142419488).

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

480074112 is a wasteful number, since it uses less digits than its factorization.

480074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 480074112 is about 21910.5936021825. The cubic root of 480074112 is about 783.0138231976.

The spelling of 480074112 in words is "four hundred eighty million, seventy-four thousand, one hundred twelve".