264215400 has 96 divisors (see below), whose sum is σ = 832610400. Its totient is φ = 69292800.

The previous prime is 264215383. The next prime is 264215407. The reversal of 264215400 is 4512462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (264215407) 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 23 ways as a sum of consecutive naturals, for example, 32991 + ... + 40209.

It is an arithmetic number, because the mean of its divisors is an integer number (8673025).

Almost surely, 2^264215400 is an apocalyptic number.

264215400 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 264215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416305200).

264215400 is an abundant number, since it is smaller than the sum of its proper divisors (568395000).

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

264215400 is a wasteful number, since it uses less digits than its factorization.

264215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 264215400 is about 16254.7039345538. The cubic root of 264215400 is about 641.6812889979.

Adding to 264215400 its reverse (4512462), we get a palindrome (268727862).

The spelling of 264215400 in words is "two hundred sixty-four million, two hundred fifteen thousand, four hundred".