466981620 has 192 divisors, whose sum is σ = 1588070400. Its totient is φ = 100154880.

The previous prime is 466981589. The next prime is 466981621. The reversal of 466981620 is 26189664.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466981621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1109010 + ... + 1109430.

It is an arithmetic number, because the mean of its divisors is an integer number (8271200).

Almost surely, 2^466981620 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 466981620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794035200).

466981620 is an abundant number, since it is smaller than the sum of its proper divisors (1121088780).

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

466981620 is a wasteful number, since it uses less digits than its factorization.

466981620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 466981620 is about 21609.7575183064. The cubic root of 466981620 is about 775.8300478950.

The spelling of 466981620 in words is "four hundred sixty-six million, nine hundred eighty-one thousand, six hundred twenty".