405991200 has 144 divisors (see below), whose sum is σ = 1332102240. Its totient is φ = 107397120.

The previous prime is 405991169. The next prime is 405991207. The reversal of 405991200 is 2199504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (405991207) 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 23 ways as a sum of consecutive naturals, for example, 332992 + ... + 334208.

It is an arithmetic number, because the mean of its divisors is an integer number (9250710).

Almost surely, 2^405991200 is an apocalyptic number.

405991200 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 405991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666051120).

405991200 is an abundant number, since it is smaller than the sum of its proper divisors (926111040).

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

405991200 is a wasteful number, since it uses less digits than its factorization.

405991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 405991200 is about 20149.2233100931. The cubic root of 405991200 is about 740.4667131333.

It can be divided in two parts, 4059 and 91200, that added together give a palindrome (95259).

The spelling of 405991200 in words is "four hundred five million, nine hundred ninety-one thousand, two hundred".