398186240400 has 405 divisors, whose sum is σ = 1498138734729. Its totient is φ = 97893918720.

The previous prime is 398186240383. The next prime is 398186240447. The reversal of 398186240400 is 4042681893.

It is a happy number.

The square root of 398186240400 is 631020.

It is a perfect power (a square), and thus also a powerful number.

398186240400 is a `hidden beast` number, since 3 + 9 + 8 + 18 + 624 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 238851148176 + 159335092224 = 488724^2 + 399168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 492195196 + ... + 492196004.

Almost surely, 2^398186240400 is an apocalyptic number.

398186240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

398186240400 is the 631020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398186240400

398186240400 is an abundant number, since it is smaller than the sum of its proper divisors (1099952494329).

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

398186240400 is a wasteful number, since it uses less digits than its factorization.

398186240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 398186240400 in words is "three hundred ninety-eight billion, one hundred eighty-six million, two hundred forty thousand, four hundred".