468885312 has 252 divisors, whose sum is σ = 1609229700. Its totient is φ = 130056192.

The previous prime is 468885299. The next prime is 468885317. The reversal of 468885312 is 213588864.

It can be written as a sum of positive squares in 2 ways, for example, as 360392256 + 108493056 = 18984^2 + 10416^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468885317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1044064 + ... + 1044512.

Almost surely, 2^468885312 is an apocalyptic number.

468885312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804614850).

468885312 is an abundant number, since it is smaller than the sum of its proper divisors (1140344388).

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

468885312 is a wasteful number, since it uses less digits than its factorization.

468885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 498 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 468885312 is about 21653.7597659159. The cubic root of 468885312 is about 776.8828652254.

It can be divided in two parts, 4688 and 85312, that added together give a square (90000 = 300²).

The spelling of 468885312 in words is "four hundred sixty-eight million, eight hundred eighty-five thousand, three hundred twelve".