463521968 has 160 divisors (see below), whose sum is σ = 1156176000. Its totient is φ = 178827264.

The previous prime is 463521953. The next prime is 463521973. The reversal of 463521968 is 869125364.

It is a super-2 number, since 2×463521968² = 429705229637186048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5208068 + ... + 5208156.

It is an arithmetic number, because the mean of its divisors is an integer number (7226100).

Almost surely, 2^463521968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463521968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578088000).

463521968 is an abundant number, since it is smaller than the sum of its proper divisors (692654032).

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

463521968 is a wasteful number, since it uses less digits than its factorization.

463521968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 463521968 is about 21529.5603299278. The cubic root of 463521968 is about 773.9093742865.

The spelling of 463521968 in words is "four hundred sixty-three million, five hundred twenty-one thousand, nine hundred sixty-eight".