405041200 has 60 divisors (see below), whose sum is σ = 978720840. Its totient is φ = 161082880.

The previous prime is 405041191. The next prime is 405041237. The reversal of 405041200 is 2140504.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 68772 + ... + 74428.

It is an arithmetic number, because the mean of its divisors is an integer number (16312014).

Almost surely, 2^405041200 is an apocalyptic number.

405041200 is a gapful number since it is divisible by the number (40) 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 405041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489360420).

405041200 is an abundant number, since it is smaller than the sum of its proper divisors (573679640).

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

405041200 is a wasteful number, since it uses less digits than its factorization.

405041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 405041200 is about 20125.6353936963. The cubic root of 405041200 is about 739.8887098281. Note that the first 3 decimals are identical.

Adding to 405041200 its reverse (2140504), we get a palindrome (407181704).

The spelling of 405041200 in words is "four hundred five million, forty-one thousand, two hundred".