466428618000 has 200 divisors, whose sum is σ = 1684775303640. Its totient is φ = 124380921600.

The previous prime is 466428617939. The next prime is 466428618017. The reversal of 466428618000 is 816824664.

466428618000 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 28 + 618 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130951344384 + 335477273616 = 361872^2 + 579204^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×466428618000³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277595 + ... + 1601594.

Almost surely, 2^466428618000 is an apocalyptic number.

466428618000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466428618000 is an abundant number, since it is smaller than the sum of its proper divisors (1218346685640).

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

466428618000 is a wasteful number, since it uses less digits than its factorization.

466428618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879224 (or 2879199 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 466428618000 in words is "four hundred sixty-six billion, four hundred twenty-eight million, six hundred eighteen thousand".