1982439360 has 560 divisors, whose sum is σ = 8165409120. Its totient is φ = 451215360.

The previous prime is 1982439337. The next prime is 1982439373. The reversal of 1982439360 is 639342891.

It is a happy number.

1982439360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1982439360³ (a number of 29 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846836 + ... + 4847244.

Almost surely, 2^1982439360 is an apocalyptic number.

1982439360 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 1982439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082704560).

1982439360 is an abundant number, since it is smaller than the sum of its proper divisors (6182969760).

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

1982439360 is a wasteful number, since it uses less digits than its factorization.

1982439360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1982439360 is about 44524.5927550157. The cubic root of 1982439360 is about 1256.2227011221. Note that the first 3 decimals are identical.

The spelling of 1982439360 in words is "one billion, nine hundred eighty-two million, four hundred thirty-nine thousand, three hundred sixty".