1978905600 has 528 divisors, whose sum is σ = 8325558400. Its totient is φ = 451215360.

The previous prime is 1978905569. The next prime is 1978905601. The reversal of 1978905600 is 65098791.

1978905600 is a `hidden beast` number, since 1 + 9 + 7 + 89 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×1978905600² = 7832134747422720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978905601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838196 + ... + 4838604.

Almost surely, 2^1978905600 is an apocalyptic number.

1978905600 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 1978905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162779200).

1978905600 is an abundant number, since it is smaller than the sum of its proper divisors (6346652800).

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

1978905600 is a wasteful number, since it uses less digits than its factorization.

1978905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1978905600 is about 44484.8918173350. The cubic root of 1978905600 is about 1255.4758384602.

The spelling of 1978905600 in words is "one billion, nine hundred seventy-eight million, nine hundred five thousand, six hundred".