468668032 has 64 divisors (see below), whose sum is σ = 1073937600. Its totient is φ = 199563264.

The previous prime is 468668017. The next prime is 468668047. The reversal of 468668032 is 230866864.

It is an interprime number because it is at equal distance from previous prime (468668017) and next prime (468668047).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 468668032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144444 + ... + 147652.

It is an arithmetic number, because the mean of its divisors is an integer number (16780275).

Almost surely, 2^468668032 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 468668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536968800).

468668032 is an abundant number, since it is smaller than the sum of its proper divisors (605269568).

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

468668032 is a wasteful number, since it uses less digits than its factorization.

468668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 468668032 is about 21648.7420419756. The cubic root of 468668032 is about 776.7628449807.

The spelling of 468668032 in words is "four hundred sixty-eight million, six hundred sixty-eight thousand, thirty-two".