411770880 has 168 divisors, whose sum is σ = 1428663132. Its totient is φ = 109707264.

The previous prime is 411770873. The next prime is 411770903. The reversal of 411770880 is 88077114.

It can be written as a sum of positive squares in 2 ways, for example, as 361304064 + 50466816 = 19008^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 368082 + ... + 369198.

Almost surely, 2^411770880 is an apocalyptic number.

411770880 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 411770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714331566).

411770880 is an abundant number, since it is smaller than the sum of its proper divisors (1016892252).

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

411770880 is a wasteful number, since it uses less digits than its factorization.

411770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 411770880 is about 20292.1383791852. The cubic root of 411770880 is about 743.9639247163.

The spelling of 411770880 in words is "four hundred eleven million, seven hundred seventy thousand, eight hundred eighty".