463182480 has 120 divisors (see below), whose sum is σ = 1569562488. Its totient is φ = 122400768.

The previous prime is 463182431. The next prime is 463182481. The reversal of 463182480 is 84281364.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 441504144 = 4656^2 + 21012^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (463182481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78514 + ... + 84206.

Almost surely, 2^463182480 is an apocalyptic number.

463182480 is a gapful number since it is divisible by the number (40) 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 463182480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784781244).

463182480 is an abundant number, since it is smaller than the sum of its proper divisors (1106380008).

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

463182480 is a wasteful number, since it uses less digits than its factorization.

463182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 463182480 is about 21521.6746560299. The cubic root of 463182480 is about 773.7203885550.

The spelling of 463182480 in words is "four hundred sixty-three million, one hundred eighty-two thousand, four hundred eighty".