412823840 has 96 divisors (see below), whose sum is σ = 1145866176. Its totient is φ = 138562560.

The previous prime is 412823839. The next prime is 412823857. The reversal of 412823840 is 48328214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 412823797 and 412823806.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13859 + ... + 31901.

It is an arithmetic number, because the mean of its divisors is an integer number (11936106).

Almost surely, 2^412823840 is an apocalyptic number.

412823840 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 412823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572933088).

412823840 is an abundant number, since it is smaller than the sum of its proper divisors (733042336).

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

412823840 is a wasteful number, since it uses less digits than its factorization.

412823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18082 (or 18074 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 412823840 is about 20318.0668371772. The cubic root of 412823840 is about 744.5975274571.

The spelling of 412823840 in words is "four hundred twelve million, eight hundred twenty-three thousand, eight hundred forty".