1004331400 has 24 divisors (see below), whose sum is σ = 2335070970. Its totient is φ = 401732480.

The previous prime is 1004331379. The next prime is 1004331437. The reversal of 1004331400 is 41334001.

It can be written as a sum of positive squares in 3 ways, for example, as 838797444 + 165533956 = 28962^2 + 12866^2 .

It is a super-2 number, since 2×1004331400² = 2017363122051920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2510629 + ... + 2511028.

Almost surely, 2^1004331400 is an apocalyptic number.

1004331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004331400 is an abundant number, since it is smaller than the sum of its proper divisors (1330739570).

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

1004331400 is a wasteful number, since it uses less digits than its factorization.

1004331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021673 (or 5021664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1004331400 is about 31691.1880496772. The cubic root of 1004331400 is about 1001.4417204433.

Adding to 1004331400 its reverse (41334001), we get a palindrome (1045665401).

The spelling of 1004331400 in words is "one billion, four million, three hundred thirty-one thousand, four hundred".