466045272 has 192 divisors, whose sum is σ = 1643241600. Its totient is φ = 121020480.

The previous prime is 466045267. The next prime is 466045273. The reversal of 466045272 is 272540664.

466045272 is a `hidden beast` number, since 46 + 604 + 5 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466045273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114423 + ... + 118425.

It is an arithmetic number, because the mean of its divisors is an integer number (8558550).

Almost surely, 2^466045272 is an apocalyptic number.

466045272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466045272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821620800).

466045272 is an abundant number, since it is smaller than the sum of its proper divisors (1177196328).

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

466045272 is a wasteful number, since it uses less digits than its factorization.

466045272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 466045272 is about 21588.0817119076. The cubic root of 466045272 is about 775.3111602424.

The spelling of 466045272 in words is "four hundred sixty-six million, forty-five thousand, two hundred seventy-two".