1238630400 has 456 divisors, whose sum is σ = 5200927040. Its totient is φ = 283115520.

The previous prime is 1238630381. The next prime is 1238630401. The reversal of 1238630400 is 40368321.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 5! ⋅ (2!)⁸.

1238630400 is a `hidden beast` number, since 1 + 23 + 8 + 630 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238630401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176947197 + ... + 176947203.

Almost surely, 2^1238630400 is an apocalyptic number.

1238630400 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 1238630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600463520).

1238630400 is an abundant number, since it is smaller than the sum of its proper divisors (3962296640).

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

1238630400 is an frugal number, since it uses more digits than its factorization.

1238630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1238630400 is about 35194.1813372609. The cubic root of 1238630400 is about 1073.9413843981.

Adding to 1238630400 its reverse (40368321), we get a palindrome (1278998721).

The spelling of 1238630400 in words is "one billion, two hundred thirty-eight million, six hundred thirty thousand, four hundred".