426364800 has 192 divisors, whose sum is σ = 1466156160. Its totient is φ = 108697600.

The previous prime is 426364753. The next prime is 426364853. The reversal of 426364800 is 8463624.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219835 + ... + 221765.

It is an arithmetic number, because the mean of its divisors is an integer number (7636230).

Almost surely, 2^426364800 is an apocalyptic number.

426364800 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 426364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733078080).

426364800 is an abundant number, since it is smaller than the sum of its proper divisors (1039791360).

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

426364800 is a wasteful number, since it uses less digits than its factorization.

426364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 426364800 is about 20648.6028583050. The cubic root of 426364800 is about 752.6512390872.

The spelling of 426364800 in words is "four hundred twenty-six million, three hundred sixty-four thousand, eight hundred".