426007296 has 288 divisors, whose sum is σ = 1483453440. Its totient is φ = 118886400.

The previous prime is 426007273. The next prime is 426007297. The reversal of 426007296 is 692700624.

It is a happy number.

426007296 is a `hidden beast` number, since 42 + 600 + 7 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 426007296.

It is not an unprimeable number, because it can be changed into a prime (426007297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 988201 + ... + 988631.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^426007296 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 426007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741726720).

426007296 is an abundant number, since it is smaller than the sum of its proper divisors (1057446144).

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

426007296 is a wasteful number, since it uses less digits than its factorization.

426007296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 426007296 is about 20639.9441859710. The cubic root of 426007296 is about 752.4408159396.

The spelling of 426007296 in words is "four hundred twenty-six million, seven thousand, two hundred ninety-six".