411253344 has 36 divisors (see below), whose sum is σ = 1169502516. Its totient is φ = 137084352.

The previous prime is 411253343. The next prime is 411253391. The reversal of 411253344 is 443352114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×411253344³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411253343) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 713694 + ... + 714269.

It is an arithmetic number, because the mean of its divisors is an integer number (32486181).

Almost surely, 2^411253344 is an apocalyptic number.

It is an amenable number.

411253344 is an abundant number, since it is smaller than the sum of its proper divisors (758249172).

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

411253344 is a wasteful number, since it uses less digits than its factorization.

411253344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427979 (or 1427968 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 411253344 is about 20279.3822391117. The cubic root of 411253344 is about 743.6521092923.

The spelling of 411253344 in words is "four hundred eleven million, two hundred fifty-three thousand, three hundred forty-four".