200464020 has 72 divisors (see below), whose sum is σ = 619576776. Its totient is φ = 52445952.

The previous prime is 200463997. The next prime is 200464031. The reversal of 200464020 is 20464002.

200464020 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 640 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 199996164 = 684^2 + 14142^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200463984 and 200464002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (8605233).

Almost surely, 2^200464020 is an apocalyptic number.

200464020 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 200464020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309788388).

200464020 is an abundant number, since it is smaller than the sum of its proper divisors (419112756).

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

200464020 is a wasteful number, since it uses less digits than its factorization.

200464020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21081 (or 21076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200464020 is about 14158.5317035348. The cubic root of 200464020 is about 585.2554658943.

Subtracting from 200464020 its sum of digits (18), we obtain a palindrome (200464002).

The spelling of 200464020 in words is "two hundred million, four hundred sixty-four thousand, twenty".