1000264500 has 144 divisors (see below), whose sum is σ = 3321864000. Its totient is φ = 252676800.

The previous prime is 1000264487. The next prime is 1000264541. The reversal of 1000264500 is 54620001.

It is a happy number.

1000264500 is a `hidden beast` number, since 100 + 0 + 2 + 64 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79651 + ... + 91349.

It is an arithmetic number, because the mean of its divisors is an integer number (23068500).

Almost surely, 2^1000264500 is an apocalyptic number.

1000264500 is a gapful number since it is divisible by the number (10) 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 1000264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660932000).

1000264500 is an abundant number, since it is smaller than the sum of its proper divisors (2321599500).

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

1000264500 is a wasteful number, since it uses less digits than its factorization.

1000264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1000264500 is about 31626.9584373838. The cubic root of 1000264500 is about 1000.0881588944.

Adding to 1000264500 its reverse (54620001), we get a palindrome (1054884501).

The spelling of 1000264500 in words is "one billion, two hundred sixty-four thousand, five hundred".