466872000 has 336 divisors, whose sum is σ = 1797820128. Its totient is φ = 106444800.

The previous prime is 466871989. The next prime is 466872023. The reversal of 466872000 is 278664.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175802 + ... + 1176198.

Almost surely, 2^466872000 is an apocalyptic number.

466872000 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 466872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898910064).

466872000 is an abundant number, since it is smaller than the sum of its proper divisors (1330948128).

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

466872000 is a wasteful number, since it uses less digits than its factorization.

466872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 466872000 is about 21607.2210152069. The cubic root of 466872000 is about 775.7693366223.

The spelling of 466872000 in words is "four hundred sixty-six million, eight hundred seventy-two thousand".