1238632900 has 54 divisors (see below), whose sum is σ = 2777550090. Its totient is φ = 479433600.

The previous prime is 1238632883. The next prime is 1238632921. The reversal of 1238632900 is 92368321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 130142464 + 1108490436 = 11408^2 + 33294^2 .

It is a super-2 number, since 2×1238632900² = 3068422921924820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89656 + ... + 102544.

Almost surely, 2^1238632900 is an apocalyptic number.

1238632900 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 1238632900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388775045).

1238632900 is an abundant number, since it is smaller than the sum of its proper divisors (1538917190).

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

1238632900 is a wasteful number, since it uses less digits than its factorization.

1238632900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12965 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1238632900 is about 35194.2168544777. The cubic root of 1238632900 is about 1073.9421069305.

The spelling of 1238632900 in words is "one billion, two hundred thirty-eight million, six hundred thirty-two thousand, nine hundred".