426240000 has 360 divisors, whose sum is σ = 1579908330. Its totient is φ = 110592000.

The previous prime is 426239969. The next prime is 426240029. The reversal of 426240000 is 42624.

426240000 is a `hidden beast` number, since 4 + 262 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 46457856 + 379782144 = 6816^2 + 19488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519982 + ... + 11520018.

Almost surely, 2^426240000 is an apocalyptic number.

426240000 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 426240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789954165).

426240000 is an abundant number, since it is smaller than the sum of its proper divisors (1153668330).

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

426240000 is an equidigital number, since it uses as much as digits as its factorization.

426240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 426240000 is about 20645.5806409023. The cubic root of 426240000 is about 752.5777964696.

Adding to 426240000 its reverse (42624), we get a palindrome (426282624).

Multiplying 426240000 by its reverse (42624), we get a square (18168053760000 = 4262400²).

426240000 divided by its reverse (42624) gives a 4-th power (10000 = 10⁴).

The spelling of 426240000 in words is "four hundred twenty-six million, two hundred forty thousand".