1944986400 has 648 divisors, whose sum is σ = 8248886100. Its totient is φ = 429649920.

The previous prime is 1944986387. The next prime is 1944986431. The reversal of 1944986400 is 46894491.

It can be written as a sum of positive squares in 6 ways, for example, as 718025616 + 1226960784 = 26796^2 + 35028^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13053526 + ... + 13053674.

Almost surely, 2^1944986400 is an apocalyptic number.

1944986400 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 1944986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124443050).

1944986400 is an abundant number, since it is smaller than the sum of its proper divisors (6303899700).

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

1944986400 is a wasteful number, since it uses less digits than its factorization.

1944986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1944986400 is about 44101.9999546506. Note that the first 4 decimals coincide. The cubic root of 1944986400 is about 1248.2613481263.

The spelling of 1944986400 in words is "one billion, nine hundred forty-four million, nine hundred eighty-six thousand, four hundred".