410412288 has 288 divisors, whose sum is σ = 1330987392. Its totient is φ = 110592000.

The previous prime is 410412259. The next prime is 410412307. The reversal of 410412288 is 882214014.

It is a super-2 number, since 2×410412288² = 336876492282789888, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4063438 + ... + 4063538.

It is an arithmetic number, because the mean of its divisors is an integer number (4621484).

Almost surely, 2^410412288 is an apocalyptic number.

410412288 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 410412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665493696).

410412288 is an abundant number, since it is smaller than the sum of its proper divisors (920575104).

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

410412288 is a wasteful number, since it uses less digits than its factorization.

410412288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 410412288 is about 20258.6348997162. The cubic root of 410412288 is about 743.1448145919.

The spelling of 410412288 in words is "four hundred ten million, four hundred twelve thousand, two hundred eighty-eight".