466306400 has 72 divisors (see below), whose sum is σ = 1301010480. Its totient is φ = 159874560.

The previous prime is 466306391. The next prime is 466306403. The reversal of 466306400 is 4603664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466306403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36035 + ... + 47234.

It is an arithmetic number, because the mean of its divisors is an integer number (18069590).

Almost surely, 2^466306400 is an apocalyptic number.

466306400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466306400 is an abundant number, since it is smaller than the sum of its proper divisors (834704080).

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

466306400 is a wasteful number, since it uses less digits than its factorization.

466306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83296 (or 83283 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 466306400 is about 21594.1288316987. The cubic root of 466306400 is about 775.4559370586.

The spelling of 466306400 in words is "four hundred sixty-six million, three hundred six thousand, four hundred".