466199328 has 288 divisors, whose sum is σ = 1544417280. Its totient is φ = 122411520.

The previous prime is 466199311. The next prime is 466199341. The reversal of 466199328 is 823991664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3353883 + ... + 3354021.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^466199328 is an apocalyptic number.

466199328 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 466199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

466199328 is an abundant number, since it is smaller than the sum of its proper divisors (1078217952).

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

466199328 is a wasteful number, since it uses less digits than its factorization.

466199328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 466199328 is about 21591.6494969699. The cubic root of 466199328 is about 775.3965798249.

The spelling of 466199328 in words is "four hundred sixty-six million, one hundred ninety-nine thousand, three hundred twenty-eight".