411729240 has 256 divisors, whose sum is σ = 1451520000. Its totient is φ = 92510208.

The previous prime is 411729223. The next prime is 411729247. The reversal of 411729240 is 42927114.

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 = 411729198 and 411729207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411729247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859321 + ... + 859799.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^411729240 is an apocalyptic number.

411729240 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 411729240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

411729240 is an abundant number, since it is smaller than the sum of its proper divisors (1039790760).

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

411729240 is a wasteful number, since it uses less digits than its factorization.

411729240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 411729240 is about 20291.1123401355. The cubic root of 411729240 is about 743.9388462858.

The spelling of 411729240 in words is "four hundred eleven million, seven hundred twenty-nine thousand, two hundred forty".