462163968 has 260 divisors, whose sum is σ = 1585777600. Its totient is φ = 131383296.

The previous prime is 462163943. The next prime is 462163973. The reversal of 462163968 is 869361264.

462163968 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 639 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322333 + ... + 2322531.

Almost surely, 2^462163968 is an apocalyptic number.

462163968 is a gapful number since it is divisible by the number (48) 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 462163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792888800).

462163968 is an abundant number, since it is smaller than the sum of its proper divisors (1123613632).

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

462163968 is an equidigital number, since it uses as much as digits as its factorization.

462163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 462163968 is about 21497.9991627128. Note that the first 3 decimals coincide. The cubic root of 462163968 is about 773.1528499411.

The spelling of 462163968 in words is "four hundred sixty-two million, one hundred sixty-three thousand, nine hundred sixty-eight".