411011316 has 72 divisors (see below), whose sum is σ = 1089695880. Its totient is φ = 130443264.

The previous prime is 411011309. The next prime is 411011323. The reversal of 411011316 is 613110114.

It is an interprime number because it is at equal distance from previous prime (411011309) and next prime (411011323).

It can be written as a sum of positive squares in 4 ways, for example, as 179667216 + 231344100 = 13404^2 + 15210^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73516 + ... + 78908.

It is an arithmetic number, because the mean of its divisors is an integer number (15134665).

Almost surely, 2^411011316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411011316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544847940).

411011316 is an abundant number, since it is smaller than the sum of its proper divisors (678684564).

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

411011316 is a wasteful number, since it uses less digits than its factorization.

411011316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 411011316 is about 20273.4140193506. The cubic root of 411011316 is about 743.5061976504.

The spelling of 411011316 in words is "four hundred eleven million, eleven thousand, three hundred sixteen".