411626880 has 512 divisors, whose sum is σ = 1727308800. Its totient is φ = 90685440.

The previous prime is 411626867. The next prime is 411626927. The reversal of 411626880 is 88626114.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4959319 + ... + 4959401.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^411626880 is an apocalyptic number.

411626880 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 411626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

411626880 is an abundant number, since it is smaller than the sum of its proper divisors (1315681920).

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

411626880 is a wasteful number, since it uses less digits than its factorization.

411626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 411626880 is about 20288.5898967868. The cubic root of 411626880 is about 743.8771909678.

The spelling of 411626880 in words is "four hundred eleven million, six hundred twenty-six thousand, eight hundred eighty".