1978444800 has 396 divisors, whose sum is σ = 7338675136. Its totient is φ = 508723200.

The previous prime is 1978444753. The next prime is 1978444807. The reversal of 1978444800 is 84448791.

1978444800 is a `hidden beast` number, since 1 + 97 + 84 + 4 + 480 + 0 = 666.

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 (1978444807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142262 + ... + 7142538.

Almost surely, 2^1978444800 is an apocalyptic number.

1978444800 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 1978444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669337568).

1978444800 is an abundant number, since it is smaller than the sum of its proper divisors (5360230336).

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

1978444800 is a wasteful number, since it uses less digits than its factorization.

1978444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1978444800 is about 44479.7122292849. The cubic root of 1978444800 is about 1255.3783825438.

The spelling of 1978444800 in words is "one billion, nine hundred seventy-eight million, four hundred forty-four thousand, eight hundred".