426326400 has 288 divisors, whose sum is σ = 1546407720. Its totient is φ = 111820800.

The previous prime is 426326393. The next prime is 426326401. The reversal of 426326400 is 4623624.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426326401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3254335 + ... + 3254465.

Almost surely, 2^426326400 is an apocalyptic number.

426326400 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 426326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773203860).

426326400 is an abundant number, since it is smaller than the sum of its proper divisors (1120081320).

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

426326400 is a wasteful number, since it uses less digits than its factorization.

426326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 426326400 is about 20647.6729923737. The cubic root of 426326400 is about 752.6286428853.

The spelling of 426326400 in words is "four hundred twenty-six million, three hundred twenty-six thousand, four hundred".