1973450304 has 420 divisors, whose sum is σ = 7221076236. Its totient is φ = 529514496.

The previous prime is 1973450249. The next prime is 1973450363. The reversal of 1973450304 is 4030543791.

1973450304 is a `hidden beast` number, since 1 + 9 + 7 + 345 + 0 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1625702400 + 347747904 = 40320^2 + 18648^2 .

It is a super-2 number, since 2×1973450304² = 7789012204715384832, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4318044 + ... + 4318500.

Almost surely, 2^1973450304 is an apocalyptic number.

1973450304 is a gapful number since it is divisible by the number (14) 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 1973450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610538118).

1973450304 is an abundant number, since it is smaller than the sum of its proper divisors (5247625932).

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

1973450304 is a wasteful number, since it uses less digits than its factorization.

1973450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

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

The square root of 1973450304 is about 44423.5332228313. The cubic root of 1973450304 is about 1254.3211100472.

The spelling of 1973450304 in words is "one billion, nine hundred seventy-three million, four hundred fifty thousand, three hundred four".