466626420 has 120 divisors (see below), whose sum is σ = 1576497384. Its totient is φ = 114856704.

The previous prime is 466626409. The next prime is 466626427. The reversal of 466626420 is 24626664.

It can be written as a sum of positive squares in 4 ways, for example, as 47032164 + 419594256 = 6858^2 + 20484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466626427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9982 + ... + 32138.

Almost surely, 2^466626420 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 466626420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788248692).

466626420 is an abundant number, since it is smaller than the sum of its proper divisors (1109870964).

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

466626420 is a wasteful number, since it uses less digits than its factorization.

466626420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22191 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 466626420 is about 21601.5374452838. The cubic root of 466626420 is about 775.6332915910.

The spelling of 466626420 in words is "four hundred sixty-six million, six hundred twenty-six thousand, four hundred twenty".