468934272 has 160 divisors (see below), whose sum is σ = 1441545600. Its totient is φ = 151165440.

The previous prime is 468934259. The next prime is 468934289. The reversal of 468934272 is 272439864.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 320679 + ... + 322137.

It is an arithmetic number, because the mean of its divisors is an integer number (9009660).

Almost surely, 2^468934272 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 468934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720772800).

468934272 is an abundant number, since it is smaller than the sum of its proper divisors (972611328).

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

468934272 is a wasteful number, since it uses less digits than its factorization.

468934272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1495 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 468934272 is about 21654.8902560138. The cubic root of 468934272 is about 776.9099044326.

The spelling of 468934272 in words is "four hundred sixty-eight million, nine hundred thirty-four thousand, two hundred seventy-two".