1600400 has 30 divisors (see below), whose sum is σ = 3845922. Its totient is φ = 640000.

The previous prime is 1600393. The next prime is 1600421. The reversal of 1600400 is 40061.

It can be written as a sum of positive squares in 3 ways, for example, as 2704 + 1597696 = 52^2 + 1264^2 .

It is a super-2 number, since 2×1600400² = 5122560320000, which contains 22 as substring.

It is an Ulam number.

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, 1601 + ... + 2400.

2^1600400 is an apocalyptic number.

1600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600400 is an abundant number, since it is smaller than the sum of its proper divisors (2245522).

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

1600400 is a wasteful number, since it uses less digits than its factorization.

1600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4008 counting only the distinct ones).

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

The square root of 1600400 is about 1265.0691680695. The cubic root of 1600400 is about 116.9704554422.

Adding to 1600400 its reverse (40061), we get a palindrome (1640461).

It can be divided in two parts, 1600 and 400, that multiplied together give a square (640000 = 800²).

The spelling of 1600400 in words is "one million, six hundred thousand, four hundred".