410442560 has 224 divisors, whose sum is σ = 1191646080. Its totient is φ = 133079040.

The previous prime is 410442533. The next prime is 410442563. The reversal of 410442560 is 65244014.

It is a super-3 number, since 3×410442560³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410442563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21602231 + ... + 21602249.

Almost surely, 2^410442560 is an apocalyptic number.

410442560 is a gapful number since it is divisible by the number (40) 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 410442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595823040).

410442560 is an abundant number, since it is smaller than the sum of its proper divisors (781203520).

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

410442560 is a wasteful number, since it uses less digits than its factorization.

410442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 410442560 is about 20259.3820241388. The cubic root of 410442560 is about 743.1630855903.

Adding to 410442560 its reverse (65244014), we get a palindrome (475686574).

It can be divided in two parts, 410442 and 560, that multiplied together give a triangular number (229847520 = T₂₁₄₄₀).

The spelling of 410442560 in words is "four hundred ten million, four hundred forty-two thousand, five hundred sixty".