1946949800 has 48 divisors (see below), whose sum is σ = 4682763900. Its totient is φ = 751923200.

The previous prime is 1946949799. The next prime is 1946949827. The reversal of 1946949800 is 89496491.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 507961444 + 1438988356 = 22538^2 + 37934^2 .

It is a super-2 number, since 2×1946949800² = 7581227047440080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162041 + ... + 173640.

Almost surely, 2^1946949800 is an apocalyptic number.

1946949800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1946949800 is an abundant number, since it is smaller than the sum of its proper divisors (2735814100).

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

1946949800 is a wasteful number, since it uses less digits than its factorization.

1946949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335726 (or 335717 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 1946949800 is about 44124.2541013443. The cubic root of 1946949800 is about 1248.6812331725.

The spelling of 1946949800 in words is "one billion, nine hundred forty-six million, nine hundred forty-nine thousand, eight hundred".