264100200 has 288 divisors, whose sum is σ = 1027121760. Its totient is φ = 55641600.

The previous prime is 264100189. The next prime is 264100211. The reversal of 264100200 is 2001462.

It is an interprime number because it is at equal distance from previous prime (264100189) and next prime (264100211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 264100200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381855 + ... + 382545.

It is an arithmetic number, because the mean of its divisors is an integer number (3566395).

Almost surely, 2^264100200 is an apocalyptic number.

264100200 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 264100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513560880).

264100200 is an abundant number, since it is smaller than the sum of its proper divisors (763021560).

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

264100200 is a wasteful number, since it uses less digits than its factorization.

264100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 264100200 is about 16251.1599585999. The cubic root of 264100200 is about 641.5880160717.

Adding to 264100200 its reverse (2001462), we get a palindrome (266101662).

The spelling of 264100200 in words is "two hundred sixty-four million, one hundred thousand, two hundred".