468470016 has 216 divisors, whose sum is σ = 1595170304. Its totient is φ = 129392640.

The previous prime is 468469961. The next prime is 468470039. The reversal of 468470016 is 610074864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499500 + ... + 500436.

Almost surely, 2^468470016 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 468470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797585152).

468470016 is an abundant number, since it is smaller than the sum of its proper divisors (1126700288).

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

468470016 is a wasteful number, since it uses less digits than its factorization.

468470016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 468470016 is about 21644.1681752845. The cubic root of 468470016 is about 776.6534333942.

The spelling of 468470016 in words is "four hundred sixty-eight million, four hundred seventy thousand, sixteen".