466442266000 has 40 divisors (see below), whose sum is σ = 1127857404024. Its totient is φ = 186576905600.

The previous prime is 466442265977. The next prime is 466442266009. The reversal of 466442266000 is 662244664.

It can be written as a sum of positive squares in 4 ways, for example, as 130023705744 + 336418560256 = 360588^2 + 580016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×466442266000³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (466442266009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116608567 + ... + 116612566.

Almost surely, 2^466442266000 is an apocalyptic number.

466442266000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466442266000 is an abundant number, since it is smaller than the sum of its proper divisors (661415138024).

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

466442266000 is a wasteful number, since it uses less digits than its factorization.

466442266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233221156 (or 233221140 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 466442266000 in words is "four hundred sixty-six billion, four hundred forty-two million, two hundred sixty-six thousand".