1974196800 has 210 divisors, whose sum is σ = 7257127218. Its totient is φ = 526417920.

The previous prime is 1974196771. The next prime is 1974196849. The reversal of 1974196800 is 86914791.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7096896 + 1967099904 = 2664^2 + 44352^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121984 + ... + 137216.

Almost surely, 2^1974196800 is an apocalyptic number.

1974196800 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 1974196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628563609).

1974196800 is an abundant number, since it is smaller than the sum of its proper divisors (5282930418).

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

1974196800 is a wasteful number, since it uses less digits than its factorization.

1974196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1974196800 is about 44431.9344616009. The cubic root of 1974196800 is about 1254.4792472364.

The spelling of 1974196800 in words is "one billion, nine hundred seventy-four million, one hundred ninety-six thousand, eight hundred".