468121272 has 64 divisors (see below), whose sum is σ = 1203824160. Its totient is φ = 151603200.

The previous prime is 468121271. The next prime is 468121273. The reversal of 468121272 is 272121864.

It is an interprime number because it is at equal distance from previous prime (468121271) and next prime (468121273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468121271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275658 + ... + 277350.

Almost surely, 2^468121272 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 468121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601912080).

468121272 is an abundant number, since it is smaller than the sum of its proper divisors (735702888).

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

468121272 is a wasteful number, since it uses less digits than its factorization.

468121272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2020 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 468121272 is about 21636.1103713214. The cubic root of 468121272 is about 776.4606637013.

It can be divided in two parts, 46812 and 1272, that added together give a palindrome (48084).

The spelling of 468121272 in words is "four hundred sixty-eight million, one hundred twenty-one thousand, two hundred seventy-two".