197345030400 has 1620 divisors, whose sum is σ = 900701327988. Its totient is φ = 42361159680.

The previous prime is 197345030369. The next prime is 197345030437. The reversal of 197345030400 is 4030543791.

197345030400 is a `hidden beast` number, since 1 + 9 + 7 + 345 + 0 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8599965696 + 188745064704 = 92736^2 + 434448^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×197345030400² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 431826972 + ... + 431827428.

Almost surely, 2^197345030400 is an apocalyptic number.

197345030400 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 197345030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450350663994).

197345030400 is an abundant number, since it is smaller than the sum of its proper divisors (703356297588).

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

197345030400 is a wasteful number, since it uses less digits than its factorization.

197345030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 197345030400 in words is "one hundred ninety-seven billion, three hundred forty-five million, thirty thousand, four hundred".