466550400 has 192 divisors, whose sum is σ = 1604272320. Its totient is φ = 118947840.

The previous prime is 466550393. The next prime is 466550401. The reversal of 466550400 is 4055664.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466550401) 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 23 ways as a sum of consecutive naturals, for example, 219744 + ... + 221856.

It is an arithmetic number, because the mean of its divisors is an integer number (8355585).

Almost surely, 2^466550400 is an apocalyptic number.

466550400 is a gapful number since it is divisible by the number (40) 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 466550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802136160).

466550400 is an abundant number, since it is smaller than the sum of its proper divisors (1137721920).

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

466550400 is a wasteful number, since it uses less digits than its factorization.

466550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 466550400 is about 21599.7777766346. Note that the first 5 decimals coincide. The cubic root of 466550400 is about 775.5911687832.

The spelling of 466550400 in words is "four hundred sixty-six million, five hundred fifty thousand, four hundred".