264401220 has 48 divisors (see below), whose sum is σ = 741077568. Its totient is φ = 70435200.

The previous prime is 264401219. The next prime is 264401227. The reversal of 264401220 is 22104462.

It is not an unprimeable number, because it can be changed into a prime (264401227) 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 15 ways as a sum of consecutive naturals, for example, 85542 + ... + 88578.

It is an arithmetic number, because the mean of its divisors is an integer number (15439116).

Almost surely, 2^264401220 is an apocalyptic number.

264401220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264401220 is an abundant number, since it is smaller than the sum of its proper divisors (476676348).

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

264401220 is a wasteful number, since it uses less digits than its factorization.

264401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 264401220 is about 16260.4188137944. The cubic root of 264401220 is about 641.8316830518.

Adding to 264401220 its reverse (22104462), we get a palindrome (286505682).

The spelling of 264401220 in words is "two hundred sixty-four million, four hundred one thousand, two hundred twenty".