398628076900 has 81 divisors (see below), whose sum is σ = 913221453081. Its totient is φ = 151013602080.

The previous prime is 398628076841. The next prime is 398628076907. The reversal of 398628076900 is 9670826893.

The square root of 398628076900 is 631370.

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

It can be written as a sum of positive squares in only one way, i.e., 143506107684 + 255121969216 = 378822^2 + 505096^2 .

It is a super-2 number, since 2×398628076900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398628076907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119958639 + ... + 119961961.

Almost surely, 2^398628076900 is an apocalyptic number.

398628076900 is the 631370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398628076900

398628076900 is an abundant number, since it is smaller than the sum of its proper divisors (514593376181).

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

398628076900 is an equidigital number, since it uses as much as digits as its factorization.

398628076900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 398628076900 in words is "three hundred ninety-eight billion, six hundred twenty-eight million, seventy-six thousand, nine hundred".