1973481120 has 288 divisors, whose sum is σ = 7410154752. Its totient is φ = 475232256.

The previous prime is 1973481031. The next prime is 1973481157. The reversal of 1973481120 is 211843791.

It is a happy number.

1973481120 is a `hidden beast` number, since 197 + 348 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 878719 + ... + 880961.

It is an arithmetic number, because the mean of its divisors is an integer number (25729704).

Almost surely, 2^1973481120 is an apocalyptic number.

1973481120 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 1973481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705077376).

1973481120 is an abundant number, since it is smaller than the sum of its proper divisors (5436673632).

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

1973481120 is a wasteful number, since it uses less digits than its factorization.

1973481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1973481120 is about 44423.8800646679. The cubic root of 1973481120 is about 1254.3276388761.

The spelling of 1973481120 in words is "one billion, nine hundred seventy-three million, four hundred eighty-one thousand, one hundred twenty".