468335616 has 176 divisors, whose sum is σ = 1477770240. Its totient is φ = 129024000.

The previous prime is 468335597. The next prime is 468335627. The reversal of 468335616 is 616533864.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (311040) is a multiple of the sum of its prime factors (810).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 623241 + ... + 623991.

Almost surely, 2^468335616 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 468335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738885120).

468335616 is an abundant number, since it is smaller than the sum of its proper divisors (1009434624).

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

468335616 is a wasteful number, since it uses less digits than its factorization.

468335616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 468335616 is about 21641.0631901485. The cubic root of 468335616 is about 776.5791545705.

The spelling of 468335616 in words is "four hundred sixty-eight million, three hundred thirty-five thousand, six hundred sixteen".