1082390400 has 864 divisors, whose sum is σ = 4920388200. Its totient is φ = 224501760.

The previous prime is 1082390399. The next prime is 1082390411. The reversal of 1082390400 is 40932801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345571 + ... + 18345629.

Almost surely, 2^1082390400 is an apocalyptic number.

1082390400 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 1082390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460194100).

1082390400 is an abundant number, since it is smaller than the sum of its proper divisors (3837997800).

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

1082390400 is a wasteful number, since it uses less digits than its factorization.

1082390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

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

The square root of 1082390400 is about 32899.7021263111. The cubic root of 1082390400 is about 1026.7419595837.

The spelling of 1082390400 in words is "one billion, eighty-two million, three hundred ninety thousand, four hundred".