1005331404 has 72 divisors (see below), whose sum is σ = 2946786304. Its totient is φ = 261122400.

The previous prime is 1005331381. The next prime is 1005331409. The reversal of 1005331404 is 4041335001.

It is a super-2 number, since 2×1005331404² = 2021382463737222432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005331409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39292 + ... + 59619.

Almost surely, 2^1005331404 is an apocalyptic number.

1005331404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005331404 is an abundant number, since it is smaller than the sum of its proper divisors (1941454900).

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

1005331404 is a wasteful number, since it uses less digits than its factorization.

1005331404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98947 (or 98934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1005331404 is about 31706.9614438218. The cubic root of 1005331404 is about 1001.7739857802.

Adding to 1005331404 its reverse (4041335001), we get a palindrome (5046666405).

The spelling of 1005331404 in words is "one billion, five million, three hundred thirty-one thousand, four hundred four".