411333120 has 320 divisors, whose sum is σ = 1596862080. Its totient is φ = 99532800.

The previous prime is 411333119. The next prime is 411333121. The reversal of 411333120 is 21333114.

It is an interprime number because it is at equal distance from previous prime (411333119) and next prime (411333121).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 411333093 and 411333102.

It is not an unprimeable number, because it can be changed into a prime (411333121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760050 + ... + 760590.

It is an arithmetic number, because the mean of its divisors is an integer number (4990194).

Almost surely, 2^411333120 is an apocalyptic number.

411333120 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 411333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798431040).

411333120 is an abundant number, since it is smaller than the sum of its proper divisors (1185528960).

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

411333120 is a wasteful number, since it uses less digits than its factorization.

411333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 411333120 is about 20281.3490675547. The cubic root of 411333120 is about 743.7001913776.

Adding to 411333120 its reverse (21333114), we get a palindrome (432666234).

It can be divided in two parts, 41133 and 3120, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 411333120 in words is "four hundred eleven million, three hundred thirty-three thousand, one hundred twenty".