411052320 has 480 divisors, whose sum is σ = 1738775808. Its totient is φ = 89413632.

The previous prime is 411052319. The next prime is 411052321. The reversal of 411052320 is 23250114.

It is an interprime number because it is at equal distance from previous prime (411052319) and next prime (411052321).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 411052293 and 411052302.

It is not an unprimeable number, because it can be changed into a prime (411052321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086462 + ... + 2086658.

Almost surely, 2^411052320 is an apocalyptic number.

411052320 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 411052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869387904).

411052320 is an abundant number, since it is smaller than the sum of its proper divisors (1327723488).

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

411052320 is a wasteful number, since it uses less digits than its factorization.

411052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 411052320 is about 20274.4252692894. The cubic root of 411052320 is about 743.5309217988.

The spelling of 411052320 in words is "four hundred eleven million, fifty-two thousand, three hundred twenty".