1960718400 has 441 divisors, whose sum is σ = 7414311943. Its totient is φ = 510105600.

The previous prime is 1960718371. The next prime is 1960718437. The reversal of 1960718400 is 48170691.

The square root of 1960718400 is 44280.

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

1960718400 is a `hidden beast` number, since 1 + 9 + 607 + 1 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 825297984 + 1135420416 = 28728^2 + 33696^2 .

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

It is a Duffinian 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 62 ways as a sum of consecutive naturals, for example, 47822380 + ... + 47822420.

Almost surely, 2^1960718400 is an apocalyptic number.

1960718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1960718400 is the 44280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960718400

1960718400 is an abundant number, since it is smaller than the sum of its proper divisors (5453593543).

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

1960718400 is an frugal number, since it uses more digits than its factorization.

1960718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

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

The cubic root of 1960718400 is about 1251.6178305295.

Multiplying 1960718400 by its sum of digits (36), we get a square (70585862400 = 265680²).

1960718400 divided by its sum of digits (36) gives a square (54464400 = 7380²).

The spelling of 1960718400 in words is "one billion, nine hundred sixty million, seven hundred eighteen thousand, four hundred".