410225640 has 256 divisors, whose sum is σ = 1443536640. Its totient is φ = 92160000.

The previous prime is 410225609. The next prime is 410225663. The reversal of 410225640 is 46522014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 410225640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2266350 + ... + 2266530.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^410225640 is an apocalyptic number.

410225640 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 410225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

410225640 is an abundant number, since it is smaller than the sum of its proper divisors (1033311000).

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

410225640 is a wasteful number, since it uses less digits than its factorization.

410225640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 410225640 is about 20254.0277475864. The cubic root of 410225640 is about 743.0321412877.

Adding to 410225640 its reverse (46522014), we get a palindrome (456747654).

The spelling of 410225640 in words is "four hundred ten million, two hundred twenty-five thousand, six hundred forty".