407296 has 36 divisors (see below), whose sum is σ = 854392. Its totient is φ = 193536.

The previous prime is 407291. The next prime is 407299. The reversal of 407296 is 692704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407291) by changing a digit.

407296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9451 + ... + 9493.

2⁴⁰⁷²⁹⁶ 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 407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427196).

407296 is an abundant number, since it is smaller than the sum of its proper divisors (447096).

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

407296 is an equidigital number, since it uses as much as digits as its factorization.

407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 407296 is about 638.1974616057. The cubic root of 407296 is about 74.1259117644.

It can be divided in two parts, 407 and 296, that added together give a triangular number (703 = T₃₇).

The spelling of 407296 in words is "four hundred seven thousand, two hundred ninety-six".