466051600 has 120 divisors (see below), whose sum is σ = 1355056128. Its totient is φ = 150374400.

The previous prime is 466051543. The next prime is 466051601. The reversal of 466051600 is 6150664.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (466051601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42705 + ... + 52495.

Almost surely, 2^466051600 is an apocalyptic number.

466051600 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 466051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677528064).

466051600 is an abundant number, since it is smaller than the sum of its proper divisors (889004528).

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

466051600 is a wasteful number, since it uses less digits than its factorization.

466051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 466051600 is about 21588.2282737607. The cubic root of 466051600 is about 775.3146693055.

It can be divided in two parts, 46605 and 1600, that added together give a triangular number (48205 = T₃₁₀).

The spelling of 466051600 in words is "four hundred sixty-six million, fifty-one thousand, six hundred".