411401520 has 120 divisors (see below), whose sum is σ = 1419056496. Its totient is φ = 106735104.

The previous prime is 411401519. The next prime is 411401563. The reversal of 411401520 is 25104114.

411401520 = T₃₆₁ + T₃₆₂ + ... + T₁₃₅₉.

411401520 is a `hidden beast` number, since 4 + 1 + 140 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 411401493 and 411401502.

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 23 ways as a sum of consecutive naturals, for example, 18919 + ... + 34361.

Almost surely, 2^411401520 is an apocalyptic number.

411401520 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 411401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709528248).

411401520 is an abundant number, since it is smaller than the sum of its proper divisors (1007654976).

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

411401520 is a wasteful number, since it uses less digits than its factorization.

411401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15499 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 411401520 is about 20283.0352758161. The cubic root of 411401520 is about 743.7414120422.

Adding to 411401520 its reverse (25104114), we get a palindrome (436505634).

The spelling of 411401520 in words is "four hundred eleven million, four hundred one thousand, five hundred twenty".