466145920 has 64 divisors (see below), whose sum is σ = 1118124000. Its totient is φ = 185832448.

The previous prime is 466145917. The next prime is 466145921. The reversal of 466145920 is 29541664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 466145920.

It is not an unprimeable number, because it can be changed into a prime (466145921) 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, 221031 + ... + 223129.

Almost surely, 2^466145920 is an apocalyptic number.

466145920 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 466145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559062000).

466145920 is an abundant number, since it is smaller than the sum of its proper divisors (651978080).

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

466145920 is a wasteful number, since it uses less digits than its factorization.

466145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 466145920 is about 21590.4126871165. The cubic root of 466145920 is about 775.3669687697.

The spelling of 466145920 in words is "four hundred sixty-six million, one hundred forty-five thousand, nine hundred twenty".