1982030400 has 567 divisors, whose sum is σ = 8352278571. Its totient is φ = 444487680.

The previous prime is 1982030383. The next prime is 1982030417. The reversal of 1982030400 is 40302891.

The square root of 1982030400 is 44520.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1982030383) and next prime (1982030417).

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 1967099904 = 3864^2 + 44352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37396774 + ... + 37396826.

Almost surely, 2^1982030400 is an apocalyptic number.

1982030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1982030400 is the 44520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982030400

1982030400 is an abundant number, since it is smaller than the sum of its proper divisors (6370248171).

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

1982030400 is a wasteful number, since it uses less digits than its factorization.

1982030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 1982030400 is about 1256.1363125752.

The spelling of 1982030400 in words is "one billion, nine hundred eighty-two million, thirty thousand, four hundred".