411498960 has 320 divisors, whose sum is σ = 1439907840. Its totient is φ = 96768000.

The previous prime is 411498937. The next prime is 411499007. The reversal of 411498960 is 69894114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5795725 + ... + 5795795.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^411498960 is an apocalyptic number.

411498960 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 411498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

411498960 is an abundant number, since it is smaller than the sum of its proper divisors (1028408880).

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

411498960 is a wasteful number, since it uses less digits than its factorization.

411498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 411498960 is about 20285.4371409640. The cubic root of 411498960 is about 743.8001255203.

The spelling of 411498960 in words is "four hundred eleven million, four hundred ninety-eight thousand, nine hundred sixty".