466701312 has 176 divisors, whose sum is σ = 1551658752. Its totient is φ = 121159680.

The previous prime is 466701253. The next prime is 466701329. The reversal of 466701312 is 213107664.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×466701312² = 435620229245042688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 466701312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235558 + ... + 237530.

Almost surely, 2^466701312 is an apocalyptic number.

466701312 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 466701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775829376).

466701312 is an abundant number, since it is smaller than the sum of its proper divisors (1084957440).

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

466701312 is a wasteful number, since it uses less digits than its factorization.

466701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 466701312 is about 21603.2708634595. The cubic root of 466701312 is about 775.6747848989.

Adding to 466701312 its reverse (213107664), we get a palindrome (679808976).

The spelling of 466701312 in words is "four hundred sixty-six million, seven hundred one thousand, three hundred twelve".