466574400 has 126 divisors (see below), whose sum is σ = 1658366762. Its totient is φ = 124416000.

The previous prime is 466574363. The next prime is 466574429. The reversal of 466574400 is 4475664.

466574400 is a `hidden beast` number, since 46 + 6 + 574 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 165482496 + 301091904 = 12864^2 + 17352^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1801 + ... + 30600.

Almost surely, 2^466574400 is an apocalyptic number.

466574400 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 466574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829183381).

466574400 is an abundant number, since it is smaller than the sum of its proper divisors (1191792362).

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

466574400 is a wasteful number, since it uses less digits than its factorization.

466574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32429 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 466574400 is about 21600.3333307614. Note that the first 5 decimals coincide. The cubic root of 466574400 is about 775.6044677171.

The spelling of 466574400 in words is "four hundred sixty-six million, five hundred seventy-four thousand, four hundred".