410434420 has 72 divisors (see below), whose sum is σ = 978130944. Its totient is φ = 144408000.

The previous prime is 410434411. The next prime is 410434433. The reversal of 410434420 is 24434014.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 410434391 and 410434400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72285 + ... + 77755.

It is an arithmetic number, because the mean of its divisors is an integer number (13585152).

Almost surely, 2^410434420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489065472).

410434420 is an abundant number, since it is smaller than the sum of its proper divisors (567696524).

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

410434420 is a wasteful number, since it uses less digits than its factorization.

410434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 410434420 is about 20259.1811285649. The cubic root of 410434420 is about 743.1581726921.

Adding to 410434420 its reverse (24434014), we get a palindrome (434868434).

The spelling of 410434420 in words is "four hundred ten million, four hundred thirty-four thousand, four hundred twenty".