410624 has 22 divisors (see below), whose sum is σ = 822894. Its totient is φ = 204800.

The previous prime is 410623. The next prime is 410629. The reversal of 410624 is 426014.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 1024 = 640^2 + 32^2 .

It is a super-2 number, since 2×410624² = 337224138752, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (410621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 824 + ... + 1224.

410624 is a Friedman number, since it can be written as 401*2^(6+4), using all its digits and the basic arithmetic operations.

2⁴¹⁰⁶²⁴ 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 410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411447).

410624 is an abundant number, since it is smaller than the sum of its proper divisors (412270).

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

410624 is an equidigital number, since it uses as much as digits as its factorization.

410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

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

The square root of 410624 is about 640.7995006240. The cubic root of 410624 is about 74.3272576872.

Adding to 410624 its reverse (426014), we get a palindrome (836638).

The spelling of 410624 in words is "four hundred ten thousand, six hundred twenty-four".