411343920 has 400 divisors, whose sum is σ = 1625833440. Its totient is φ = 95551488.

The previous prime is 411343897. The next prime is 411343927. The reversal of 411343920 is 29343114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411343927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600432 + ... + 1600688.

Almost surely, 2^411343920 is an apocalyptic number.

411343920 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 411343920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812916720).

411343920 is an abundant number, since it is smaller than the sum of its proper divisors (1214489520).

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

411343920 is a wasteful number, since it uses less digits than its factorization.

411343920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 411343920 is about 20281.6153202845. The cubic root of 411343920 is about 743.7067002074.

It can be divided in two parts, 41134 and 3920, that added together give a palindrome (45054).

The spelling of 411343920 in words is "four hundred eleven million, three hundred forty-three thousand, nine hundred twenty".