468910080 has 272 divisors, whose sum is σ = 1698680160. Its totient is φ = 122683392.

The previous prime is 468910073. The next prime is 468910081. The reversal of 468910080 is 80019864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (468910081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847334 + ... + 8847386.

Almost surely, 2^468910080 is an apocalyptic number.

468910080 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 468910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849340080).

468910080 is an abundant number, since it is smaller than the sum of its proper divisors (1229770080).

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

468910080 is an frugal number, since it uses more digits than its factorization.

468910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 468910080 is about 21654.3316682829. The cubic root of 468910080 is about 776.8965441184.

The spelling of 468910080 in words is "four hundred sixty-eight million, nine hundred ten thousand, eighty".