468750464 has 96 divisors (see below), whose sum is σ = 1170067500. Its totient is φ = 185407488.

The previous prime is 468750437. The next prime is 468750479. The reversal of 468750464 is 464057864.

It can be written as a sum of positive squares in 2 ways, for example, as 351937600 + 116812864 = 18760^2 + 10808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78662 + ... + 84410.

Almost surely, 2^468750464 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 468750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585033750).

468750464 is an abundant number, since it is smaller than the sum of its proper divisors (701317036).

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

468750464 is a wasteful number, since it uses less digits than its factorization.

468750464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The square root of 468750464 is about 21650.6458102293. The cubic root of 468750464 is about 776.8083828005.

The spelling of 468750464 in words is "four hundred sixty-eight million, seven hundred fifty thousand, four hundred sixty-four".