412949320 has 128 divisors (see below), whose sum is σ = 1093305600. Its totient is φ = 137465856.

The previous prime is 412949309. The next prime is 412949323. The reversal of 412949320 is 23949214.

It is not an unprimeable number, because it can be changed into a prime (412949323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819047 + ... + 1819273.

It is an arithmetic number, because the mean of its divisors is an integer number (8541450).

Almost surely, 2^412949320 is an apocalyptic number.

412949320 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 412949320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546652800).

412949320 is an abundant number, since it is smaller than the sum of its proper divisors (680356280).

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

412949320 is a wasteful number, since it uses less digits than its factorization.

412949320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 412949320 is about 20321.1544947623. The cubic root of 412949320 is about 744.6729612732.

The spelling of 412949320 in words is "four hundred twelve million, nine hundred forty-nine thousand, three hundred twenty".