426296800 has 72 divisors (see below), whose sum is σ = 1045620576. Its totient is φ = 169712640.

The previous prime is 426296729. The next prime is 426296807. The reversal of 426296800 is 8692624.

It is a self number, because there is not a number n which added to its sum of digits gives 426296800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426296807) 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 11 ways as a sum of consecutive naturals, for example, 185257 + ... + 187543.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

Almost surely, 2^426296800 is an apocalyptic number.

426296800 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 426296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522810288).

426296800 is an abundant number, since it is smaller than the sum of its proper divisors (619323776).

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

426296800 is a wasteful number, since it uses less digits than its factorization.

426296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 426296800 is about 20646.9561921364. The cubic root of 426296800 is about 752.6112240536.

The spelling of 426296800 in words is "four hundred twenty-six million, two hundred ninety-six thousand, eight hundred".