468794016 has 108 divisors (see below), whose sum is σ = 1354804542. Its totient is φ = 153759744.

The previous prime is 468794009. The next prime is 468794021. The reversal of 468794016 is 610497864.

It can be written as a sum of positive squares in 3 ways, for example, as 449609616 + 19184400 = 21204^2 + 4380^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2709706 + ... + 2709878.

Almost surely, 2^468794016 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 468794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677402271).

468794016 is an abundant number, since it is smaller than the sum of its proper divisors (886010526).

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

468794016 is a wasteful number, since it uses less digits than its factorization.

468794016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 468794016 is about 21651.6515767274. The cubic root of 468794016 is about 776.8324400290.

The spelling of 468794016 in words is "four hundred sixty-eight million, seven hundred ninety-four thousand, sixteen".