1982471400 has 864 divisors, whose sum is σ = 8849880000. Its totient is φ = 396264960.

The previous prime is 1982471347. The next prime is 1982471417. The reversal of 1982471400 is 41742891.

1982471400 is a `hidden beast` number, since 1 + 9 + 8 + 247 + 1 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 104340591 + ... + 104340609.

Almost surely, 2^1982471400 is an apocalyptic number.

1982471400 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 1982471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424940000).

1982471400 is an abundant number, since it is smaller than the sum of its proper divisors (6867408600).

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

1982471400 is a wasteful number, since it uses less digits than its factorization.

1982471400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1982471400 is about 44524.9525547192. The cubic root of 1982471400 is about 1256.2294687370.

The spelling of 1982471400 in words is "one billion, nine hundred eighty-two million, four hundred seventy-one thousand, four hundred".