1600400000 has 96 divisors (see below), whose sum is σ = 3986112060. Its totient is φ = 640000000.

The previous prime is 1600399981. The next prime is 1600400041. The reversal of 1600400000 is 40061.

It can be written as a sum of positive squares in 6 ways, for example, as 581002816 + 1019397184 = 24104^2 + 31928^2 .

It is a super-2 number, since 2×1600400000² = 5122560320000000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398000 + ... + 402000.

Almost surely, 2^1600400000 is an apocalyptic number.

1600400000 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 1600400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993056030).

1600400000 is an abundant number, since it is smaller than the sum of its proper divisors (2385712060).

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

1600400000 is an frugal number, since it uses more digits than its factorization.

1600400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1600400000 is about 40004.9996875391. Note that the first 3 decimals coincide. The cubic root of 1600400000 is about 1169.7045544219.

Adding to 1600400000 its reverse (40061), we get a palindrome (1600440061).

The spelling of 1600400000 in words is "one billion, six hundred million, four hundred thousand".