463909680 has 200 divisors, whose sum is σ = 1735482672. Its totient is φ = 114172416.

The previous prime is 463909673. The next prime is 463909687. The reversal of 463909680 is 86909364.

463909680 is a `hidden beast` number, since 4 + 639 + 0 + 9 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463909673) and next prime (463909687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (463909687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81487 + ... + 86993.

Almost surely, 2^463909680 is an apocalyptic number.

463909680 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 463909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867741336).

463909680 is an abundant number, since it is smaller than the sum of its proper divisors (1271572992).

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

463909680 is a wasteful number, since it uses less digits than its factorization.

463909680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 463909680 is about 21538.5626261364. The cubic root of 463909680 is about 774.1250924552.

The spelling of 463909680 in words is "four hundred sixty-three million, nine hundred nine thousand, six hundred eighty".