264424164200 has 192 divisors, whose sum is σ = 744495027840. Its totient is φ = 85263482880.

The previous prime is 264424164139. The next prime is 264424164203. The reversal of 264424164200 is 2461424462.

It is a super-2 number, since 2×264424164200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (264424164203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40385327 + ... + 40391873.

It is an arithmetic number, because the mean of its divisors is an integer number (3877578270).

Almost surely, 2^264424164200 is an apocalyptic number.

264424164200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264424164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372247513920).

264424164200 is an abundant number, since it is smaller than the sum of its proper divisors (480070863640).

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

264424164200 is a wasteful number, since it uses less digits than its factorization.

264424164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 264424164200 its reverse (2461424462), we get a palindrome (266885588662).

The spelling of 264424164200 in words is "two hundred sixty-four billion, four hundred twenty-four million, one hundred sixty-four thousand, two hundred".