1082419200 has 504 divisors, whose sum is σ = 4162526550. Its totient is φ = 278691840.

The previous prime is 1082419199. The next prime is 1082419243. The reversal of 1082419200 is 29142801.

It can be written as a sum of positive squares in 3 ways, for example, as 812934144 + 269485056 = 28512^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324786 + ... + 37324814.

Almost surely, 2^1082419200 is an apocalyptic number.

1082419200 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 1082419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081263275).

1082419200 is an abundant number, since it is smaller than the sum of its proper divisors (3080107350).

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

1082419200 is an frugal number, since it uses more digits than its factorization.

1082419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1082419200 is about 32900.1398173321. The cubic root of 1082419200 is about 1026.7510659425.

The spelling of 1082419200 in words is "one billion, eighty-two million, four hundred nineteen thousand, two hundred".