468895680 has 504 divisors, whose sum is σ = 1902189744. Its totient is φ = 105062400.

The previous prime is 468895673. The next prime is 468895711. The reversal of 468895680 is 86598864.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11436460 + ... + 11436500.

It is an arithmetic number, because the mean of its divisors is an integer number (3774186).

Almost surely, 2^468895680 is an apocalyptic number.

468895680 is a gapful number since it is divisible by the number (40) 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 468895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951094872).

468895680 is an abundant number, since it is smaller than the sum of its proper divisors (1433294064).

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

468895680 is a wasteful number, since it uses less digits than its factorization.

468895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

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

The square root of 468895680 is about 21653.9991687448. Note that the first 3 decimals coincide. The cubic root of 468895680 is about 776.8885913322. Note that the first 3 decimals are identical.

The spelling of 468895680 in words is "four hundred sixty-eight million, eight hundred ninety-five thousand, six hundred eighty".