466133907600 has 225 divisors, whose sum is σ = 1673358358683. Its totient is φ = 124269603840.

The previous prime is 466133907527. The next prime is 466133907607. The reversal of 466133907600 is 6709331664.

The square root of 466133907600 is 682740.

It is a perfect power (a square), and thus also a powerful number.

466133907600 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 3 + 39 + 0 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102264364944 + 363869542656 = 319788^2 + 603216^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (466133907607) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122891304 + ... + 122895096.

Almost surely, 2^466133907600 is an apocalyptic number.

466133907600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

466133907600 is the 682740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466133907600

466133907600 is an abundant number, since it is smaller than the sum of its proper divisors (1207224451083).

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

466133907600 is an frugal number, since it uses more digits than its factorization.

466133907600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 466133907600 in words is "four hundred sixty-six billion, one hundred thirty-three million, nine hundred seven thousand, six hundred".