468469008 has 180 divisors, whose sum is σ = 1582242480. Its totient is φ = 133793856.

The previous prime is 468468971. The next prime is 468469019. The reversal of 468469008 is 800964864.

It is a happy number.

It is a super-2 number, since 2×468469008² = 438926422913008128, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 189283 + ... + 191741.

It is an arithmetic number, because the mean of its divisors is an integer number (8790236).

Almost surely, 2^468469008 is an apocalyptic number.

468469008 is a gapful number since it is divisible by the number (48) 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 468469008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791121240).

468469008 is an abundant number, since it is smaller than the sum of its proper divisors (1113773472).

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

468469008 is a wasteful number, since it uses less digits than its factorization.

468469008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 468469008 is about 21644.1448895538. The cubic root of 468469008 is about 776.6528763559.

The spelling of 468469008 in words is "four hundred sixty-eight million, four hundred sixty-nine thousand, eight".