198462830400 has 420 divisors, whose sum is σ = 730943341260. Its totient is φ = 52818739200.

The previous prime is 198462830383. The next prime is 198462830407. The reversal of 198462830400 is 4038264891.

It is a happy number.

198462830400 is a `hidden beast` number, since 19 + 8 + 4 + 628 + 3 + 0 + 4 + 0 + 0 = 666.

198462830400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 537497856 + 197925332544 = 23184^2 + 444888^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198462830407) 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 59 ways as a sum of consecutive naturals, for example, 83072406 + ... + 83074794.

Almost surely, 2^198462830400 is an apocalyptic number.

198462830400 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 198462830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365471670630).

198462830400 is an abundant number, since it is smaller than the sum of its proper divisors (532480510860).

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

198462830400 is a wasteful number, since it uses less digits than its factorization.

198462830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3040 counting only the distinct ones).

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

It can be divided in two parts, 1984628 and 30400, that added together give a triangular number (2015028 = T₂₀₀₇).

The spelling of 198462830400 in words is "one hundred ninety-eight billion, four hundred sixty-two million, eight hundred thirty thousand, four hundred".