410712120 has 480 divisors, whose sum is σ = 1738044000. Its totient is φ = 86220288.

The previous prime is 410712119. The next prime is 410712121. The reversal of 410712120 is 21217014.

It is an interprime number because it is at equal distance from previous prime (410712119) and next prime (410712121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 410712093 and 410712102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410712121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063781 + ... + 2063979.

It is an arithmetic number, because the mean of its divisors is an integer number (3620925).

Almost surely, 2^410712120 is an apocalyptic number.

410712120 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 410712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869022000).

410712120 is an abundant number, since it is smaller than the sum of its proper divisors (1327331880).

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

410712120 is a wasteful number, since it uses less digits than its factorization.

410712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 410712120 is about 20266.0336523948. The cubic root of 410712120 is about 743.3257418884.

Adding to 410712120 its reverse (21217014), we get a palindrome (431929134).

The spelling of 410712120 in words is "four hundred ten million, seven hundred twelve thousand, one hundred twenty".