411772240 has 80 divisors (see below), whose sum is σ = 1047629376. Its totient is φ = 149273600.

The previous prime is 411772157. The next prime is 411772241. The reversal of 411772240 is 42277114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 411772199 and 411772208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411772241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 431604 + ... + 432556.

Almost surely, 2^411772240 is an apocalyptic number.

411772240 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 411772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523814688).

411772240 is an abundant number, since it is smaller than the sum of its proper divisors (635857136).

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

411772240 is a wasteful number, since it uses less digits than its factorization.

411772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 411772240 is about 20292.1718896721. The cubic root of 411772240 is about 743.9647437720.

The spelling of 411772240 in words is "four hundred eleven million, seven hundred seventy-two thousand, two hundred forty".