464606220 has 96 divisors (see below), whose sum is σ = 1414812672. Its totient is φ = 113234688.

The previous prime is 464606213. The next prime is 464606227. The reversal of 464606220 is 22606464.

It is an interprime number because it is at equal distance from previous prime (464606213) and next prime (464606227).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (464606227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77449 + ... + 83231.

It is an arithmetic number, because the mean of its divisors is an integer number (14737632).

Almost surely, 2^464606220 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 464606220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707406336).

464606220 is an abundant number, since it is smaller than the sum of its proper divisors (950206452).

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

464606220 is a wasteful number, since it uses less digits than its factorization.

464606220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 464606220 is about 21554.7261638834. The cubic root of 464606220 is about 774.5123369799.

The spelling of 464606220 in words is "four hundred sixty-four million, six hundred six thousand, two hundred twenty".