468550272 has 128 divisors (see below), whose sum is σ = 1285542720. Its totient is φ = 151142400.

The previous prime is 468550267. The next prime is 468550349. The reversal of 468550272 is 272055864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 468550272.

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 15 ways as a sum of consecutive naturals, for example, 1944072 + ... + 1944312.

Almost surely, 2^468550272 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 468550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642771360).

468550272 is an abundant number, since it is smaller than the sum of its proper divisors (816992448).

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

468550272 is a wasteful number, since it uses less digits than its factorization.

468550272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 468550272 is about 21646.0220825906. The cubic root of 468550272 is about 776.6977816888.

The spelling of 468550272 in words is "four hundred sixty-eight million, five hundred fifty thousand, two hundred seventy-two".