1973106450 has 144 divisors (see below), whose sum is σ = 6149457600. Its totient is φ = 444216960.

The previous prime is 1973106431. The next prime is 1973106491. The reversal of 1973106450 is 546013791.

1973106450 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 1 + 0 + 645 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 206376 + ... + 215724.

Almost surely, 2^1973106450 is an apocalyptic number.

1973106450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973106450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074728800).

1973106450 is an abundant number, since it is smaller than the sum of its proper divisors (4176351150).

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

1973106450 is a wasteful number, since it uses less digits than its factorization.

1973106450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1973106450 is about 44419.6628758031. The cubic root of 1973106450 is about 1254.2482548415.

The spelling of 1973106450 in words is "one billion, nine hundred seventy-three million, one hundred six thousand, four hundred fifty".