413221400 has 48 divisors (see below), whose sum is σ = 983103000. Its totient is φ = 161441280.

The previous prime is 413221379. The next prime is 413221409. The reversal of 413221400 is 4122314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413221409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15425 + ... + 32624.

Almost surely, 2^413221400 is an apocalyptic number.

413221400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413221400 is an abundant number, since it is smaller than the sum of its proper divisors (569881600).

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

413221400 is a wasteful number, since it uses less digits than its factorization.

413221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48108 (or 48099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 413221400 is about 20327.8478939606. The cubic root of 413221400 is about 744.8364729745.

Adding to 413221400 its reverse (4122314), we get a palindrome (417343714).

The spelling of 413221400 in words is "four hundred thirteen million, two hundred twenty-one thousand, four hundred".