20402000 has 60 divisors (see below), whose sum is σ = 49825308. Its totient is φ = 8080000.

The previous prime is 20401973. The next prime is 20402009. The reversal of 20402000 is 20402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 20394256 = 88^2 + 4516^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402009) by changing a digit.

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, 201950 + ... + 202050.

Almost surely, 2^20402000 is an apocalyptic number.

20402000 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 20402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24912654).

20402000 is an abundant number, since it is smaller than the sum of its proper divisors (29423308).

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

20402000 is an equidigital number, since it uses as much as digits as its factorization.

20402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 108 counting only the distinct ones).

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

The square root of 20402000 is about 4516.8573145496. The cubic root of 20402000 is about 273.2483707112.

Adding to 20402000 its reverse (20402), we get a palindrome (20422402).

20402000 divided by its reverse (20402) gives a cube (1000 = 10³).

The spelling of 20402000 in words is "twenty million, four hundred two thousand".