468843696 has 180 divisors, whose sum is σ = 1437162480. Its totient is φ = 142490880.

The previous prime is 468843673. The next prime is 468843709. The reversal of 468843696 is 696348864.

468843696 is a `hidden beast` number, since 46 + 88 + 436 + 96 = 666.

It is a super-2 number, since 2×468843696² = 439628822557880832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1507381 + ... + 1507691.

It is an arithmetic number, because the mean of its divisors is an integer number (7984236).

Almost surely, 2^468843696 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 468843696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718581240).

468843696 is an abundant number, since it is smaller than the sum of its proper divisors (968318784).

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

468843696 is a wasteful number, since it uses less digits than its factorization.

468843696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 364 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 468843696 is about 21652.7988029261. The cubic root of 468843696 is about 776.8598804193.

It can be divided in two parts, 4688 and 43696, that added together give a palindrome (48384).

The spelling of 468843696 in words is "four hundred sixty-eight million, eight hundred forty-three thousand, six hundred ninety-six".