1996302400 has 63 divisors (see below), whose sum is σ = 4916553159. Its totient is φ = 797806080.

The previous prime is 1996302383. The next prime is 1996302433. The reversal of 1996302400 is 42036991.

The square root of 1996302400 is 44680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 858724416 + 1137577984 = 29304^2 + 33728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1786642 + ... + 1787758.

Almost surely, 2^1996302400 is an apocalyptic number.

1996302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1996302400 is the 44680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1996302400

1996302400 is an abundant number, since it is smaller than the sum of its proper divisors (2920250759).

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

1996302400 is an frugal number, since it uses more digits than its factorization.

1996302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 1996302400 is about 1259.1441235585.

Multiplying 1996302400 by its product of nonzero digits (11664), we get a square (23284871193600 = 4825440²).

The spelling of 1996302400 in words is "one billion, nine hundred ninety-six million, three hundred two thousand, four hundred".