411345312 has 96 divisors (see below), whose sum is σ = 1245186432. Its totient is φ = 116465664.

The previous prime is 411345301. The next prime is 411345323. The reversal of 411345312 is 213543114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411345301) and next prime (411345323).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73228 + ... + 78644.

It is an arithmetic number, because the mean of its divisors is an integer number (12970692).

Almost surely, 2^411345312 is an apocalyptic number.

411345312 is a gapful number since it is divisible by the number (42) 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 411345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622593216).

411345312 is an abundant number, since it is smaller than the sum of its proper divisors (833841120).

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

411345312 is a wasteful number, since it uses less digits than its factorization.

411345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5542 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 411345312 is about 20281.6496370488. The cubic root of 411345312 is about 743.7075391149.

Adding to 411345312 its reverse (213543114), we get a palindrome (624888426).

The spelling of 411345312 in words is "four hundred eleven million, three hundred forty-five thousand, three hundred twelve".