468678336 has 168 divisors, whose sum is σ = 1489959936. Its totient is φ = 129507840.

The previous prime is 468678293. The next prime is 468678347. The reversal of 468678336 is 633876864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 290845 + ... + 292451.

Almost surely, 2^468678336 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 468678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744979968).

468678336 is an abundant number, since it is smaller than the sum of its proper divisors (1021281600).

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

468678336 is a wasteful number, since it uses less digits than its factorization.

468678336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1650 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 468678336 is about 21648.9800221627. The cubic root of 468678336 is about 776.7685375002.

The spelling of 468678336 in words is "four hundred sixty-eight million, six hundred seventy-eight thousand, three hundred thirty-six".