466470000 has 300 divisors, whose sum is σ = 1676950704. Its totient is φ = 120960000.

The previous prime is 466469963. The next prime is 466470029. The reversal of 466470000 is 74664.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6389964 + ... + 6390036.

Almost surely, 2^466470000 is an apocalyptic number.

466470000 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 466470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838475352).

466470000 is an abundant number, since it is smaller than the sum of its proper divisors (1210480704).

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

466470000 is a wasteful number, since it uses less digits than its factorization.

466470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 466470000 is about 21597.9165661876. The cubic root of 466470000 is about 775.5466140310.

The spelling of 466470000 in words is "four hundred sixty-six million, four hundred seventy thousand".