468089856 has 132 divisors (see below), whose sum is σ = 1455941032. Its totient is φ = 143990784.

The previous prime is 468089819. The next prime is 468089857. The reversal of 468089856 is 658980864.

It is a happy number.

It is a super-2 number, since 2×468089856² = 438216226580201472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468089857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117855 + ... + 121761.

Almost surely, 2^468089856 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 468089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727970516).

468089856 is an abundant number, since it is smaller than the sum of its proper divisors (987851176).

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

468089856 is a wasteful number, since it uses less digits than its factorization.

468089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 468089856 is about 21635.3843506419. The cubic root of 468089856 is about 776.4432936768.

The spelling of 468089856 in words is "four hundred sixty-eight million, eighty-nine thousand, eight hundred fifty-six".