409204224 has 480 divisors, whose sum is σ = 1501403904. Its totient is φ = 109486080.

The previous prime is 409204219. The next prime is 409204241. The reversal of 409204224 is 422402904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17791477 + ... + 17791499.

Almost surely, 2^409204224 is an apocalyptic number.

409204224 is a gapful number since it is divisible by the number (44) 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 409204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

409204224 is an abundant number, since it is smaller than the sum of its proper divisors (1092199680).

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

409204224 is a wasteful number, since it uses less digits than its factorization.

409204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 409204224 is about 20228.7968994698. The cubic root of 409204224 is about 742.4149397509.

The spelling of 409204224 in words is "four hundred nine million, two hundred four thousand, two hundred twenty-four".