200401920 has 132 divisors (see below), whose sum is σ = 694547100. Its totient is φ = 53428224.

The previous prime is 200401889. The next prime is 200401939. The reversal of 200401920 is 29104002.

200401920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 170459136 = 5472^2 + 13056^2 .

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 = 200401893 and 200401902.

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, 43906 + ... + 48254.

Almost surely, 2^200401920 is an apocalyptic number.

200401920 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 200401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347273550).

200401920 is an abundant number, since it is smaller than the sum of its proper divisors (494145180).

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

200401920 is a wasteful number, since it uses less digits than its factorization.

200401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200401920 is about 14156.3385096571. The cubic root of 200401920 is about 585.1950259244.

Adding to 200401920 its reverse (29104002), we get a palindrome (229505922).

The spelling of 200401920 in words is "two hundred million, four hundred one thousand, nine hundred twenty".