466416450 has 144 divisors (see below), whose sum is σ = 1303833960. Its totient is φ = 119439360.

The previous prime is 466416443. The next prime is 466416463. The reversal of 466416450 is 54614664.

466416450 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 1 + 645 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 290668401 + 175748049 = 17049^2 + 13257^2 .

It is a super-3 number, since 3×466416450³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1814722 + ... + 1814978.

Almost surely, 2^466416450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466416450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651916980).

466416450 is an abundant number, since it is smaller than the sum of its proper divisors (837417510).

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

466416450 is a wasteful number, since it uses less digits than its factorization.

466416450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 466416450 is about 21596.6768276974. The cubic root of 466416450 is about 775.5169357305.

The spelling of 466416450 in words is "four hundred sixty-six million, four hundred sixteen thousand, four hundred fifty".