468914336 has 48 divisors (see below), whose sum is σ = 1009296288. Its totient is φ = 212678400.

The previous prime is 468914323. The next prime is 468914419. The reversal of 468914336 is 633419864.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 199826 + ... + 202158.

It is an arithmetic number, because the mean of its divisors is an integer number (21027006).

Almost surely, 2^468914336 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 468914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504648144).

468914336 is an abundant number, since it is smaller than the sum of its proper divisors (540381952).

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

468914336 is a wasteful number, since it uses less digits than its factorization.

468914336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2917 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 468914336 is about 21654.4299393912. The cubic root of 468914336 is about 776.8988945773.

The spelling of 468914336 in words is "four hundred sixty-eight million, nine hundred fourteen thousand, three hundred thirty-six".