264353200 has 60 divisors (see below), whose sum is σ = 637881048. Its totient is φ = 105280000.

The previous prime is 264353171. The next prime is 264353203. The reversal of 264353200 is 2353462.

It is a happy number.

264353200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×264353200² = 139765228700480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (264353203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99084 + ... + 101716.

Almost surely, 2^264353200 is an apocalyptic number.

264353200 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 264353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318940524).

264353200 is an abundant number, since it is smaller than the sum of its proper divisors (373527848).

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

264353200 is a wasteful number, since it uses less digits than its factorization.

264353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 264353200 is about 16258.9421550112. The cubic root of 264353200 is about 641.7928246538.

The spelling of 264353200 in words is "two hundred sixty-four million, three hundred fifty-three thousand, two hundred".