426115200 has 384 divisors, whose sum is σ = 1702926720. Its totient is φ = 91422720.

The previous prime is 426115189. The next prime is 426115201. The reversal of 426115200 is 2511624.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (426115201) 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, 1142214 + ... + 1142586.

It is an arithmetic number, because the mean of its divisors is an integer number (4434705).

Almost surely, 2^426115200 is an apocalyptic number.

426115200 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 426115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851463360).

426115200 is an abundant number, since it is smaller than the sum of its proper divisors (1276811520).

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

426115200 is a wasteful number, since it uses less digits than its factorization.

426115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 426115200 is about 20642.5579810255. The cubic root of 426115200 is about 752.5043395150.

Adding to 426115200 its reverse (2511624), we get a palindrome (428626824).

The spelling of 426115200 in words is "four hundred twenty-six million, one hundred fifteen thousand, two hundred".