410122240 has 144 divisors (see below), whose sum is σ = 1084912920. Its totient is φ = 148684800.

The previous prime is 410122217. The next prime is 410122253. The reversal of 410122240 is 42221014.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1238875 + ... + 1239205.

Almost surely, 2^410122240 is an apocalyptic number.

410122240 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 410122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542456460).

410122240 is an abundant number, since it is smaller than the sum of its proper divisors (674790680).

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

410122240 is a wasteful number, since it uses less digits than its factorization.

410122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

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

The square root of 410122240 is about 20251.4750080087. The cubic root of 410122240 is about 742.9697073717.

Adding to 410122240 its reverse (42221014), we get a palindrome (452343254).

The spelling of 410122240 in words is "four hundred ten million, one hundred twenty-two thousand, two hundred forty".