1005490976 has 144 divisors (see below), whose sum is σ = 2478996576. Its totient is φ = 398813184.

The previous prime is 1005490933. The next prime is 1005490979. The reversal of 1005490976 is 6790945001.

It is a super-2 number, since 2×1005490976² = 2022024205634865152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005490979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785671 + ... + 1786233.

It is an arithmetic number, because the mean of its divisors is an integer number (17215254).

Almost surely, 2^1005490976 is an apocalyptic number.

1005490976 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 1005490976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239498288).

1005490976 is an abundant number, since it is smaller than the sum of its proper divisors (1473505600).

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

1005490976 is a wasteful number, since it uses less digits than its factorization.

1005490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 1005490976 is about 31709.4776998928. The cubic root of 1005490976 is about 1001.8269854248.

The spelling of 1005490976 in words is "one billion, five million, four hundred ninety thousand, nine hundred seventy-six".