412558344 has 96 divisors (see below), whose sum is σ = 1225692000. Its totient is φ = 124323840.

The previous prime is 412558319. The next prime is 412558361. The reversal of 412558344 is 443855214.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 412558299 and 412558308.

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, 151507 + ... + 154205.

It is an arithmetic number, because the mean of its divisors is an integer number (12767625).

Almost surely, 2^412558344 is an apocalyptic number.

412558344 is a gapful number since it is divisible by the number (44) 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 412558344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612846000).

412558344 is an abundant number, since it is smaller than the sum of its proper divisors (813133656).

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

412558344 is a wasteful number, since it uses less digits than its factorization.

412558344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2908 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 412558344 is about 20311.5322907948. The cubic root of 412558344 is about 744.4378709319.

The spelling of 412558344 in words is "four hundred twelve million, five hundred fifty-eight thousand, three hundred forty-four".