264200442 has 64 divisors (see below), whose sum is σ = 600182784. Its totient is φ = 76831040.

The previous prime is 264200437. The next prime is 264200449. The reversal of 264200442 is 244002462.

It is not an unprimeable number, because it can be changed into a prime (264200449) 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 31 ways as a sum of consecutive naturals, for example, 163603 + ... + 165209.

It is an arithmetic number, because the mean of its divisors is an integer number (9377856).

Almost surely, 2^264200442 is an apocalyptic number.

264200442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300091392).

264200442 is an abundant number, since it is smaller than the sum of its proper divisors (335982342).

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

264200442 is a wasteful number, since it uses less digits than its factorization.

264200442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723.

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

The square root of 264200442 is about 16254.2438150780. The cubic root of 264200442 is about 641.6691796232.

The spelling of 264200442 in words is "two hundred sixty-four million, two hundred thousand, four hundred forty-two".