466032528 has 200 divisors, whose sum is σ = 1470392000. Its totient is φ = 141647616.

The previous prime is 466032521. The next prime is 466032533. The reversal of 466032528 is 825230664.

466032528 is a `hidden beast` number, since 4 + 6 + 603 + 25 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 466032492 and 466032501.

It is not an unprimeable number, because it can be changed into a prime (466032521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2341773 + ... + 2341971.

It is an arithmetic number, because the mean of its divisors is an integer number (7351960).

Almost surely, 2^466032528 is an apocalyptic number.

466032528 is a gapful number since it is divisible by the number (48) 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 466032528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735196000).

466032528 is an abundant number, since it is smaller than the sum of its proper divisors (1004359472).

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

466032528 is a wasteful number, since it uses less digits than its factorization.

466032528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 466032528 is about 21587.7865470270. The cubic root of 466032528 is about 775.3040932212.

The spelling of 466032528 in words is "four hundred sixty-six million, thirty-two thousand, five hundred twenty-eight".