480462192 has 200 divisors, whose sum is σ = 1603147392. Its totient is φ = 136080000.

The previous prime is 480462187. The next prime is 480462287. The reversal of 480462192 is 291264084.

480462192 is a `hidden beast` number, since 4 + 8 + 0 + 462 + 192 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 1914067 + ... + 1914317.

Almost surely, 2^480462192 is an apocalyptic number.

480462192 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 480462192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801573696).

480462192 is an abundant number, since it is smaller than the sum of its proper divisors (1122685200).

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

480462192 is a wasteful number, since it uses less digits than its factorization.

480462192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480462192 is about 21919.4478032637. The cubic root of 480462192 is about 783.2247560187.

The spelling of 480462192 in words is "four hundred eighty million, four hundred sixty-two thousand, one hundred ninety-two".