426319200 has 504 divisors, whose sum is σ = 1690626168. Its totient is φ = 104509440.

The previous prime is 426319199. The next prime is 426319211. The reversal of 426319200 is 2913624.

426319200 is a `hidden beast` number, since 4 + 2 + 631 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 9914379 + ... + 9914421.

It is an arithmetic number, because the mean of its divisors is an integer number (3354417).

Almost surely, 2^426319200 is an apocalyptic number.

426319200 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 426319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845313084).

426319200 is an abundant number, since it is smaller than the sum of its proper divisors (1264306968).

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

426319200 is a wasteful number, since it uses less digits than its factorization.

426319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 426319200 is about 20647.4986378496. The cubic root of 426319200 is about 752.6244059464.

The spelling of 426319200 in words is "four hundred twenty-six million, three hundred nineteen thousand, two hundred".