426703200 has 288 divisors, whose sum is σ = 1732389120. Its totient is φ = 88627200.

The previous prime is 426703183. The next prime is 426703201. The reversal of 426703200 is 2307624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426703201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183646 + ... + 185954.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^426703200 is an apocalyptic number.

426703200 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 426703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

426703200 is an abundant number, since it is smaller than the sum of its proper divisors (1305685920).

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

426703200 is a wasteful number, since it uses less digits than its factorization.

426703200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 426703200 is about 20656.7954920409. The cubic root of 426703200 is about 752.8503094809.

The spelling of 426703200 in words is "four hundred twenty-six million, seven hundred three thousand, two hundred".