410874240 has 256 divisors, whose sum is σ = 1576512000. Its totient is φ = 88915968.

The previous prime is 410874227. The next prime is 410874253. The reversal of 410874240 is 42478014.

It is an interprime number because it is at equal distance from previous prime (410874227) and next prime (410874253).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 410874198 and 410874207.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 254556 + ... + 256164.

It is an arithmetic number, because the mean of its divisors is an integer number (6158250).

Almost surely, 2^410874240 is an apocalyptic number.

410874240 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 410874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788256000).

410874240 is an abundant number, since it is smaller than the sum of its proper divisors (1165637760).

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

410874240 is a wasteful number, since it uses less digits than its factorization.

410874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 410874240 is about 20270.0330537471. The cubic root of 410874240 is about 743.4235331075.

It can be divided in two parts, 410874 and 240, that added together give a palindrome (411114).

The spelling of 410874240 in words is "four hundred ten million, eight hundred seventy-four thousand, two hundred forty".