466385920 has 396 divisors, whose sum is σ = 1537362504. Its totient is φ = 134184960.

The previous prime is 466385903. The next prime is 466385921. The reversal of 466385920 is 29583664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466385921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35875834 + ... + 35875846.

Almost surely, 2^466385920 is an apocalyptic number.

466385920 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 466385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768681252).

466385920 is an abundant number, since it is smaller than the sum of its proper divisors (1070976584).

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

466385920 is a wasteful number, since it uses less digits than its factorization.

466385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 466385920 is about 21595.9699944226. The cubic root of 466385920 is about 775.5000144801.

The spelling of 466385920 in words is "four hundred sixty-six million, three hundred eighty-five thousand, nine hundred twenty".