410121360 has 320 divisors, whose sum is σ = 1582398720. Its totient is φ = 96768000.

The previous prime is 410121359. The next prime is 410121377. The reversal of 410121360 is 63121014.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973950 + ... + 974370.

It is an arithmetic number, because the mean of its divisors is an integer number (4944996).

Almost surely, 2^410121360 is an apocalyptic number.

410121360 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 410121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791199360).

410121360 is an abundant number, since it is smaller than the sum of its proper divisors (1172277360).

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

410121360 is a wasteful number, since it uses less digits than its factorization.

410121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 410121360 is about 20251.4532811845. The cubic root of 410121360 is about 742.9691759742.

Adding to 410121360 its reverse (63121014), we get a palindrome (473242374).

The spelling of 410121360 in words is "four hundred ten million, one hundred twenty-one thousand, three hundred sixty".