2000400 has 60 divisors (see below), whose sum is σ = 6411792. Its totient is φ = 533120.

The previous prime is 2000393. The next prime is 2000413. The reversal of 2000400 is 40002.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 2033.

2^2000400 is an apocalyptic number.

2000400 is a gapful number since it is divisible by the number (20) 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 2000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205896).

2000400 is an abundant number, since it is smaller than the sum of its proper divisors (4411392).

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

2000400 is a wasteful number, since it uses less digits than its factorization.

2000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000400 is about 1414.3549766590. The cubic root of 2000400 is about 126.0005039033. Note that the first 3 decimals are identical.

Adding to 2000400 its reverse (40002), we get a palindrome (2040402).

The spelling of 2000400 in words is "two million, four hundred", and thus it is an aban number.