1238198400 has 480 divisors, whose sum is σ = 4855219380. Its totient is φ = 309657600.

The previous prime is 1238198389. The next prime is 1238198411. The reversal of 1238198400 is 48918321.

1238198400 is a `hidden beast` number, since 1 + 238 + 19 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1238198389) and next prime (1238198411).

It can be written as a sum of positive squares in 6 ways, for example, as 736796736 + 501401664 = 27144^2 + 22392^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406260 + ... + 4406540.

Almost surely, 2^1238198400 is an apocalyptic number.

1238198400 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 1238198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427609690).

1238198400 is an abundant number, since it is smaller than the sum of its proper divisors (3617020980).

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

1238198400 is a wasteful number, since it uses less digits than its factorization.

1238198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1238198400 is about 35188.0434238677. The cubic root of 1238198400 is about 1073.8165162036.

The spelling of 1238198400 in words is "one billion, two hundred thirty-eight million, one hundred ninety-eight thousand, four hundred".