466927272 has 240 divisors, whose sum is σ = 1535900340. Its totient is φ = 128024064.

The previous prime is 466927249. The next prime is 466927283. The reversal of 466927272 is 272729664.

It can be written as a sum of positive squares in 2 ways, for example, as 435723876 + 31203396 = 20874^2 + 5586^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6396228 + ... + 6396300.

Almost surely, 2^466927272 is an apocalyptic number.

466927272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 21608×21609.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466927272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767950170).

466927272 is an abundant number, since it is smaller than the sum of its proper divisors (1068973068).

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

466927272 is a wasteful number, since it uses less digits than its factorization.

466927272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 466927272 is about 21608.4999942152. The cubic root of 466927272 is about 775.7999493176.

The spelling of 466927272 in words is "four hundred sixty-six million, nine hundred twenty-seven thousand, two hundred seventy-two".