468733608 has 192 divisors, whose sum is σ = 1539547200. Its totient is φ = 131725440.

The previous prime is 468733597. The next prime is 468733621. The reversal of 468733608 is 806337864.

468733608 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 33 + 608 = 666.

It is a super-2 number, since 2×468733608² = 439422390537395328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708798 + ... + 709458.

It is an arithmetic number, because the mean of its divisors is an integer number (8018475).

Almost surely, 2^468733608 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 468733608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769773600).

468733608 is an abundant number, since it is smaller than the sum of its proper divisors (1070813592).

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

468733608 is a wasteful number, since it uses less digits than its factorization.

468733608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 468733608 is about 21650.2565342769. The cubic root of 468733608 is about 776.7990714931.

The spelling of 468733608 in words is "four hundred sixty-eight million, seven hundred thirty-three thousand, six hundred eight".