264211400 has 48 divisors (see below), whose sum is σ = 615446100. Its totient is φ = 105486080.

The previous prime is 264211391. The next prime is 264211417. The reversal of 264211400 is 4112462.

It can be written as a sum of positive squares in 6 ways, for example, as 11464996 + 252746404 = 3386^2 + 15898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153746 + ... + 155454.

Almost surely, 2^264211400 is an apocalyptic number.

264211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264211400 is an abundant number, since it is smaller than the sum of its proper divisors (351234700).

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

264211400 is a wasteful number, since it uses less digits than its factorization.

264211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 264211400 is about 16254.5808927822. The cubic root of 264211400 is about 641.6780508091.

Adding to 264211400 its reverse (4112462), we get a palindrome (268323862).

The spelling of 264211400 in words is "two hundred sixty-four million, two hundred eleven thousand, four hundred".