426136200 has 192 divisors, whose sum is σ = 1519605120. Its totient is φ = 96768000.

The previous prime is 426136189. The next prime is 426136211. The reversal of 426136200 is 2631624.

It is an interprime number because it is at equal distance from previous prime (426136189) and next prime (426136211).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011990 + ... + 1012410.

It is an arithmetic number, because the mean of its divisors is an integer number (7914610).

Almost surely, 2^426136200 is an apocalyptic number.

426136200 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 426136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759802560).

426136200 is an abundant number, since it is smaller than the sum of its proper divisors (1093468920).

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

426136200 is a wasteful number, since it uses less digits than its factorization.

426136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 426136200 is about 20643.0666326493. The cubic root of 426136200 is about 752.5167010638.

Adding to 426136200 its reverse (2631624), we get a palindrome (428767824).

The spelling of 426136200 in words is "four hundred twenty-six million, one hundred thirty-six thousand, two hundred".