1973696400 has 360 divisors, whose sum is σ = 7448726376. Its totient is φ = 481075200.

The previous prime is 1973696381. The next prime is 1973696407. The reversal of 1973696400 is 46963791.

It can be written as a sum of positive squares in 12 ways, for example, as 1751924736 + 221771664 = 41856^2 + 14892^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1973696407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8470684 + ... + 8470916.

Almost surely, 2^1973696400 is an apocalyptic number.

1973696400 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 1973696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724363188).

1973696400 is an abundant number, since it is smaller than the sum of its proper divisors (5475029976).

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

1973696400 is a wasteful number, since it uses less digits than its factorization.

1973696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1973696400 is about 44426.3030197202. The cubic root of 1973696400 is about 1254.3732472570.

The spelling of 1973696400 in words is "one billion, nine hundred seventy-three million, six hundred ninety-six thousand, four hundred".