464679930 has 192 divisors, whose sum is σ = 1356727680. Its totient is φ = 101122560.

The previous prime is 464679923. The next prime is 464679931. The reversal of 464679930 is 39976464.

It is a self number, because there is not a number n which added to its sum of digits gives 464679930.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464679931) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2029056 + ... + 2029284.

It is an arithmetic number, because the mean of its divisors is an integer number (7066290).

Almost surely, 2^464679930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464679930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678363840).

464679930 is an abundant number, since it is smaller than the sum of its proper divisors (892047750).

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

464679930 is a wasteful number, since it uses less digits than its factorization.

464679930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 464679930 is about 21556.4359299027. The cubic root of 464679930 is about 774.5532937321.

The spelling of 464679930 in words is "four hundred sixty-four million, six hundred seventy-nine thousand, nine hundred thirty".