466705152 has 180 divisors, whose sum is σ = 1415682576. Its totient is φ = 152893440.

The previous prime is 466705147. The next prime is 466705157. The reversal of 466705152 is 251507664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (466705147) and next prime (466705157).

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

It is not an unprimeable number, because it can be changed into a prime (466705157) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1472098 + ... + 1472414.

Almost surely, 2^466705152 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 466705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707841288).

466705152 is an abundant number, since it is smaller than the sum of its proper divisors (948977424).

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

466705152 is an equidigital number, since it uses as much as digits as its factorization.

466705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 466705152 is about 21603.3597387073. The cubic root of 466705152 is about 775.6769123002.

The spelling of 466705152 in words is "four hundred sixty-six million, seven hundred five thousand, one hundred fifty-two".