468619008 has 288 divisors, whose sum is σ = 1557626112. Its totient is φ = 122880000.

The previous prime is 468619003. The next prime is 468619009. The reversal of 468619008 is 800916864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468619001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866883 + ... + 1867133.

It is an arithmetic number, because the mean of its divisors is an integer number (5408424).

Almost surely, 2^468619008 is an apocalyptic number.

468619008 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 468619008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778813056).

468619008 is an abundant number, since it is smaller than the sum of its proper divisors (1089007104).

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

468619008 is a wasteful number, since it uses less digits than its factorization.

468619008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 468619008 is about 21647.6097525801. The cubic root of 468619008 is about 776.7357601737.

The spelling of 468619008 in words is "four hundred sixty-eight million, six hundred nineteen thousand, eight".