466624420 has 48 divisors (see below), whose sum is σ = 1034127360. Its totient is φ = 176373504.

The previous prime is 466624409. The next prime is 466624453. The reversal of 466624420 is 24426664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172317 + ... + 175003.

It is an arithmetic number, because the mean of its divisors is an integer number (21544320).

Almost surely, 2^466624420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466624420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517063680).

466624420 is an abundant number, since it is smaller than the sum of its proper divisors (567502940).

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

466624420 is a wasteful number, since it uses less digits than its factorization.

466624420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 466624420 is about 21601.4911522330. The cubic root of 466624420 is about 775.6321834463.

The spelling of 466624420 in words is "four hundred sixty-six million, six hundred twenty-four thousand, four hundred twenty".