468542464 has 88 divisors (see below), whose sum is σ = 1026988088. Its totient is φ = 212336640.

The previous prime is 468542447. The next prime is 468542471. The reversal of 468542464 is 464245864.

It can be written as a sum of positive squares in 4 ways, for example, as 27878400 + 440664064 = 5280^2 + 20992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 468542464.

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 7 ways as a sum of consecutive naturals, for example, 811744 + ... + 812320.

Almost surely, 2^468542464 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 468542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513494044).

468542464 is an abundant number, since it is smaller than the sum of its proper divisors (558445624).

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

468542464 is a wasteful number, since it uses less digits than its factorization.

468542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its digits is 737280, while the sum is 43.

The square root of 468542464 is about 21645.8417253753. The cubic root of 468542464 is about 776.6934673243.

The spelling of 468542464 in words is "four hundred sixty-eight million, five hundred forty-two thousand, four hundred sixty-four".