264242500 has 60 divisors (see below), whose sum is σ = 608367760. Its totient is φ = 100116000.

The previous prime is 264242497. The next prime is 264242501. The reversal of 264242500 is 5242462.

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 (264242501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44719 + ... + 50281.

Almost surely, 2^264242500 is an apocalyptic number.

264242500 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 264242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304183880).

264242500 is an abundant number, since it is smaller than the sum of its proper divisors (344125260).

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

264242500 is a wasteful number, since it uses less digits than its factorization.

264242500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 264242500 is about 16255.5375180275. The cubic root of 264242500 is about 641.7032268669.

Adding to 264242500 its reverse (5242462), we get a palindrome (269484962).

The spelling of 264242500 in words is "two hundred sixty-four million, two hundred forty-two thousand, five hundred".