463605480 has 384 divisors, whose sum is σ = 1745452800. Its totient is φ = 105836544.

The previous prime is 463605479. The next prime is 463605481. The reversal of 463605480 is 84506364.

463605480 is a `hidden beast` number, since 4 + 6 + 3 + 605 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463605479) and next prime (463605481).

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 (463605481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6350724 + ... + 6350796.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2^463605480 is an apocalyptic number.

463605480 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 463605480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872726400).

463605480 is an abundant number, since it is smaller than the sum of its proper divisors (1281847320).

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

463605480 is a wasteful number, since it uses less digits than its factorization.

463605480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 463605480 is about 21531.4997155331. The cubic root of 463605480 is about 773.9558494937.

The spelling of 463605480 in words is "four hundred sixty-three million, six hundred five thousand, four hundred eighty".