426291200 has 156 divisors (see below), whose sum is σ = 1109126928. Its totient is φ = 162201600.

The previous prime is 426291197. The next prime is 426291211. The reversal of 426291200 is 2192624.

It is a self number, because there is not a number n which added to its sum of digits gives 426291200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2355110 + ... + 2355290.

It is an arithmetic number, because the mean of its divisors is an integer number (7109788).

Almost surely, 2^426291200 is an apocalyptic number.

426291200 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 426291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554563464).

426291200 is an abundant number, since it is smaller than the sum of its proper divisors (682835728).

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

426291200 is a wasteful number, since it uses less digits than its factorization.

426291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 426291200 is about 20646.8205784813. The cubic root of 426291200 is about 752.6079285083.

The spelling of 426291200 in words is "four hundred twenty-six million, two hundred ninety-one thousand, two hundred".