466075120 has 80 divisors (see below), whose sum is σ = 1242920448. Its totient is φ = 159217920.

The previous prime is 466075117. The next prime is 466075189. The reversal of 466075120 is 21570664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 170565 + ... + 173275.

Almost surely, 2^466075120 is an apocalyptic number.

466075120 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 466075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621460224).

466075120 is an abundant number, since it is smaller than the sum of its proper divisors (776845328).

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

466075120 is a wasteful number, since it uses less digits than its factorization.

466075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 466075120 is about 21588.7730082096. The cubic root of 466075120 is about 775.3277115625.

The spelling of 466075120 in words is "four hundred sixty-six million, seventy-five thousand, one hundred twenty".