464204220 has 96 divisors (see below), whose sum is σ = 1342580736. Its totient is φ = 119750400.

The previous prime is 464204161. The next prime is 464204233. The reversal of 464204220 is 22402464.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 467925 + ... + 468915.

It is an arithmetic number, because the mean of its divisors is an integer number (13985216).

Almost surely, 2^464204220 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 464204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671290368).

464204220 is an abundant number, since it is smaller than the sum of its proper divisors (878376516).

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

464204220 is a wasteful number, since it uses less digits than its factorization.

464204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 464204220 is about 21545.3990448077. The cubic root of 464204220 is about 774.2888905509.

Adding to 464204220 its reverse (22402464), we get a palindrome (486606684).

The spelling of 464204220 in words is "four hundred sixty-four million, two hundred four thousand, two hundred twenty".