405221800 has 24 divisors (see below), whose sum is σ = 942141150. Its totient is φ = 162088640.

The previous prime is 405221783. The next prime is 405221807. The reversal of 405221800 is 8122504.

It can be written as a sum of positive squares in 3 ways, for example, as 147233956 + 257987844 = 12134^2 + 16062^2 .

It is not an unprimeable number, because it can be changed into a prime (405221807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1012855 + ... + 1013254.

Almost surely, 2^405221800 is an apocalyptic number.

405221800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405221800 is an abundant number, since it is smaller than the sum of its proper divisors (536919350).

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

405221800 is a wasteful number, since it uses less digits than its factorization.

405221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026125 (or 2026116 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 405221800 is about 20130.1217085243. The cubic root of 405221800 is about 739.9986608206.

It can be divided in two parts, 4052 and 21800, that added together give a palindrome (25852).

The spelling of 405221800 in words is "four hundred five million, two hundred twenty-one thousand, eight hundred".