1973445120 has 400 divisors, whose sum is σ = 7320031488. Its totient is φ = 507617280.

The previous prime is 1973445113. The next prime is 1973445137. The reversal of 1973445120 is 215443791.

1973445120 is a `hidden beast` number, since 1 + 97 + 3 + 445 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6428007 + ... + 6428313.

Almost surely, 2^1973445120 is an apocalyptic number.

1973445120 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 1973445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660015744).

1973445120 is an abundant number, since it is smaller than the sum of its proper divisors (5346586368).

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

1973445120 is an equidigital number, since it uses as much as digits as its factorization.

1973445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1973445120 is about 44423.4748753404. The cubic root of 1973445120 is about 1254.3200117328.

The spelling of 1973445120 in words is "one billion, nine hundred seventy-three million, four hundred forty-five thousand, one hundred twenty".