426720000 has 360 divisors, whose sum is σ = 1634676736. Its totient is φ = 96768000.

The previous prime is 426719987. The next prime is 426720017. The reversal of 426720000 is 27624.

It is a happy number.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359937 + ... + 3360063.

Almost surely, 2^426720000 is an apocalyptic number.

426720000 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 426720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817338368).

426720000 is an abundant number, since it is smaller than the sum of its proper divisors (1207956736).

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

426720000 is an equidigital number, since it uses as much as digits as its factorization.

426720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 426720000 is about 20657.2021338806. The cubic root of 426720000 is about 752.8601896655.

Adding to 426720000 its reverse (27624), we get a palindrome (426747624).

It can be divided in two parts, 42 and 6720000, that multiplied together give a square (282240000 = 16800²).

The spelling of 426720000 in words is "four hundred twenty-six million, seven hundred twenty thousand".