466057152 has 210 divisors, whose sum is σ = 1520595384. Its totient is φ = 141039360.

The previous prime is 466057139. The next prime is 466057153. The reversal of 466057152 is 251750664.

It is a happy number.

466057152 is a `hidden beast` number, since 46 + 605 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×466057152² = 434418537860702208, which contains 22 as substring.

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 (466057153) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 626893 + ... + 627635.

Almost surely, 2^466057152 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 466057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760297692).

466057152 is an abundant number, since it is smaller than the sum of its proper divisors (1054538232).

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

466057152 is a wasteful number, since it uses less digits than its factorization.

466057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 759 counting only the distinct ones).

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

The square root of 466057152 is about 21588.3568619754. The cubic root of 466057152 is about 775.3177480275.

The spelling of 466057152 in words is "four hundred sixty-six million, fifty-seven thousand, one hundred fifty-two".