411930288 has 240 divisors, whose sum is σ = 1455906816. Its totient is φ = 105615360.

The previous prime is 411930251. The next prime is 411930289. The reversal of 411930288 is 882039114.

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

It is not an unprimeable number, because it can be changed into a prime (411930289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075345 + ... + 1075727.

Almost surely, 2^411930288 is an apocalyptic number.

411930288 is a gapful number since it is divisible by the number (48) 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 411930288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

411930288 is an abundant number, since it is smaller than the sum of its proper divisors (1043976528).

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

411930288 is a wasteful number, since it uses less digits than its factorization.

411930288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 411930288 is about 20296.0658256717. The cubic root of 411930288 is about 744.0599153968.

The spelling of 411930288 in words is "four hundred eleven million, nine hundred thirty thousand, two hundred eighty-eight".