468338880 has 112 divisors (see below), whose sum is σ = 1551700224. Its totient is φ = 119454720.

The previous prime is 468338863. The next prime is 468338887. The reversal of 468338880 is 88833864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (468338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11475 + ... + 32685.

Almost surely, 2^468338880 is an apocalyptic number.

468338880 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 468338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775850112).

468338880 is an abundant number, since it is smaller than the sum of its proper divisors (1083361344).

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

468338880 is a wasteful number, since it uses less digits than its factorization.

468338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254 (or 21244 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 468338880 is about 21641.1386022085. The cubic root of 468338880 is about 776.5809586531.

The spelling of 468338880 in words is "four hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred eighty".