412348320 has 120 divisors (see below), whose sum is σ = 1455291684. Its totient is φ = 109956096.

The previous prime is 412348319. The next prime is 412348327. The reversal of 412348320 is 23843214.

It can be written as a sum of positive squares in 2 ways, for example, as 402082704 + 10265616 = 20052^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×412348320² = 340062274013644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412348327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2949 + ... + 28868.

Almost surely, 2^412348320 is an apocalyptic number.

412348320 is a gapful number since it is divisible by the number (40) 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 412348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727645842).

412348320 is an abundant number, since it is smaller than the sum of its proper divisors (1042943364).

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

412348320 is a wasteful number, since it uses less digits than its factorization.

412348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31844 (or 31827 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 412348320 is about 20306.3615647905. The cubic root of 412348320 is about 744.3115240685.

The spelling of 412348320 in words is "four hundred twelve million, three hundred forty-eight thousand, three hundred twenty".