410401024 has 54 divisors (see below), whose sum is σ = 900509750. Its totient is φ = 186531840.

The previous prime is 410401009. The next prime is 410401027. The reversal of 410401024 is 420104014.

It can be written as a sum of positive squares in only one way, i.e., 309760000 + 100641024 = 17600^2 + 10032^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 410400989 and 410401007.

It is not an unprimeable number, because it can be changed into a prime (410401027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24352 + ... + 37600.

Almost surely, 2^410401024 is an apocalyptic number.

410401024 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 410401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450254875).

410401024 is an abundant number, since it is smaller than the sum of its proper divisors (490108726).

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

410401024 is a wasteful number, since it uses less digits than its factorization.

410401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 410401024 is about 20258.3568928973. The cubic root of 410401024 is about 743.1380158516.

Adding to 410401024 its reverse (420104014), we get a palindrome (830505038).

The spelling of 410401024 in words is "four hundred ten million, four hundred one thousand, twenty-four".