1082397456 has 180 divisors, whose sum is σ = 3553705584. Its totient is φ = 306633600.

The previous prime is 1082397443. The next prime is 1082397493. The reversal of 1082397456 is 6547932801.

1082397456 is a `hidden beast` number, since 108 + 2 + 3 + 97 + 456 = 666.

1082397456 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1082397456 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 923751 + ... + 924921.

It is a 1-persistent number, because it is pandigital, but 2⋅1082397456 = 2164794912 is not.

Almost surely, 2^1082397456 is an apocalyptic number.

1082397456 is a gapful number since it is divisible by the number (16) 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 1082397456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776852792).

1082397456 is an abundant number, since it is smaller than the sum of its proper divisors (2471308128).

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

1082397456 is a wasteful number, since it uses less digits than its factorization.

1082397456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1082397456 is about 32899.8093611498. The cubic root of 1082397456 is about 1026.7441906565.

The spelling of 1082397456 in words is "one billion, eighty-two million, three hundred ninety-seven thousand, four hundred fifty-six".