464042224 has 40 divisors (see below), whose sum is σ = 960117120. Its totient is φ = 216787200.

The previous prime is 464042221. The next prime is 464042279. The reversal of 464042224 is 422240464.

464042224 is a modest number, since divided by 42224 gives 464 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 464042192 and 464042201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464042221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747 + ... + 30514.

It is an arithmetic number, because the mean of its divisors is an integer number (24002928).

Almost surely, 2^464042224 is an apocalyptic number.

It is an amenable number.

464042224 is an abundant number, since it is smaller than the sum of its proper divisors (496074896).

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

464042224 is a wasteful number, since it uses less digits than its factorization.

464042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32329 (or 32323 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 464042224 is about 21541.6393062367. The cubic root of 464042224 is about 774.1988107316.

Adding to 464042224 its reverse (422240464), we get a palindrome (886282688).

It can be divided in two parts, 4640 and 42224, that added together give a palindrome (46864).

The spelling of 464042224 in words is "four hundred sixty-four million, forty-two thousand, two hundred twenty-four".