412015296 has 336 divisors, whose sum is σ = 1452798720. Its totient is φ = 99993600.

The previous prime is 412015291. The next prime is 412015297. The reversal of 412015296 is 692510214.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (412015291) 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 47 ways as a sum of consecutive naturals, for example, 13290801 + ... + 13290831.

Almost surely, 2^412015296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412015296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726399360).

412015296 is an abundant number, since it is smaller than the sum of its proper divisors (1040783424).

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

412015296 is a wasteful number, since it uses less digits than its factorization.

412015296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 412015296 is about 20298.1599166033. The cubic root of 412015296 is about 744.1110945216. Note that the first 3 decimals are identical.

The spelling of 412015296 in words is "four hundred twelve million, fifteen thousand, two hundred ninety-six".