468217064 has 64 divisors (see below), whose sum is σ = 1043280000. Its totient is φ = 192745728.

The previous prime is 468217051. The next prime is 468217069. The reversal of 468217064 is 460712864.

It is not an unprimeable number, because it can be changed into a prime (468217069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371267 + ... + 372525.

It is an arithmetic number, because the mean of its divisors is an integer number (16301250).

Almost surely, 2^468217064 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 468217064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521640000).

468217064 is an abundant number, since it is smaller than the sum of its proper divisors (575062936).

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

468217064 is a wasteful number, since it uses less digits than its factorization.

468217064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 468217064 is about 21638.3239646697. The cubic root of 468217064 is about 776.5136226612.

The spelling of 468217064 in words is "four hundred sixty-eight million, two hundred seventeen thousand, sixty-four".