1000338000 has 80 divisors (see below), whose sum is σ = 3225109056. Its totient is φ = 266755200.

The previous prime is 1000337999. The next prime is 1000338013. The reversal of 1000338000 is 8330001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1000338000² = 2001352228488000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77362 + ... + 89361.

Almost surely, 2^1000338000 is an apocalyptic number.

1000338000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000338000 is an abundant number, since it is smaller than the sum of its proper divisors (2224771056).

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

1000338000 is a wasteful number, since it uses less digits than its factorization.

1000338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166749 (or 166733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1000338000 is about 31628.1203994167. The cubic root of 1000338000 is about 1000.1126539753.

Adding to 1000338000 its reverse (8330001), we get a palindrome (1008668001).

The spelling of 1000338000 in words is "one billion, three hundred thirty-eight thousand".