20200400 has 60 divisors (see below), whose sum is σ = 52954944. Its totient is φ = 7344000.

The previous prime is 20200393. The next prime is 20200429. The reversal of 20200400 is 400202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 2105 + ... + 6695.

Almost surely, 2^20200400 is an apocalyptic number.

20200400 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 20200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26477472).

20200400 is an abundant number, since it is smaller than the sum of its proper divisors (32754544).

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

20200400 is a wasteful number, since it uses less digits than its factorization.

20200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20200400 is about 4494.4855100445. The cubic root of 20200400 is about 272.3453657923.

Adding to 20200400 its reverse (400202), we get a palindrome (20600602).

The spelling of 20200400 in words is "twenty million, two hundred thousand, four hundred".