411531120 has 480 divisors, whose sum is σ = 1858881024. Its totient is φ = 78796800.

The previous prime is 411531079. The next prime is 411531137. The reversal of 411531120 is 21135114.

411531120 = T₃₅₉ + T₃₆₀ + ... + T₁₃₅₉.

411531120 is a `hidden beast` number, since 4 + 11 + 531 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411531093 and 411531102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720435 + ... + 721005.

Almost surely, 2^411531120 is an apocalyptic number.

411531120 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 411531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929440512).

411531120 is an abundant number, since it is smaller than the sum of its proper divisors (1447349904).

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

411531120 is a wasteful number, since it uses less digits than its factorization.

411531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 411531120 is about 20286.2298123629. The cubic root of 411531120 is about 743.8195018260.

Adding to 411531120 its reverse (21135114), we get a palindrome (432666234).

The spelling of 411531120 in words is "four hundred eleven million, five hundred thirty-one thousand, one hundred twenty".