426402768 has 160 divisors (see below), whose sum is σ = 1257062400. Its totient is φ = 123379200.

The previous prime is 426402761. The next prime is 426402793. The reversal of 426402768 is 867204624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426402761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1783993 + ... + 1784231.

It is an arithmetic number, because the mean of its divisors is an integer number (7856640).

Almost surely, 2^426402768 is an apocalyptic number.

426402768 is a gapful number since it is divisible by the number (48) 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 426402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628531200).

426402768 is an abundant number, since it is smaller than the sum of its proper divisors (830659632).

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

426402768 is a wasteful number, since it uses less digits than its factorization.

426402768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 426402768 is about 20649.5222220757. The cubic root of 426402768 is about 752.6735797480.

The spelling of 426402768 in words is "four hundred twenty-six million, four hundred two thousand, seven hundred sixty-eight".