411409152 has 288 divisors, whose sum is σ = 1518773760. Its totient is φ = 106721280.

The previous prime is 411409151. The next prime is 411409177. The reversal of 411409152 is 251904114.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (411409151) 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, 531838 + ... + 532610.

It is an arithmetic number, because the mean of its divisors is an integer number (5273520).

Almost surely, 2^411409152 is an apocalyptic number.

411409152 is a gapful number since it is divisible by the number (42) 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 411409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759386880).

411409152 is an abundant number, since it is smaller than the sum of its proper divisors (1107364608).

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

411409152 is a wasteful number, since it uses less digits than its factorization.

411409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 411409152 is about 20283.2234124658. The cubic root of 411409152 is about 743.7460111172.

The spelling of 411409152 in words is "four hundred eleven million, four hundred nine thousand, one hundred fifty-two".