426010000 has 200 divisors, whose sum is σ = 1159222680. Its totient is φ = 150528000.

The previous prime is 426009989. The next prime is 426010043. The reversal of 426010000 is 10624.

It can be written as a sum of positive squares in 20 ways, for example, as 361304064 + 64705936 = 19008^2 + 8044^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 3769944 + ... + 3770056.

Almost surely, 2^426010000 is an apocalyptic number.

426010000 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 426010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579611340).

426010000 is an abundant number, since it is smaller than the sum of its proper divisors (733212680).

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

426010000 is a wasteful number, since it uses less digits than its factorization.

426010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 426010000 is about 20640.0096899202. The cubic root of 426010000 is about 752.4424079277.

Adding to 426010000 its reverse (10624), we get a palindrome (426020624).

It can be divided in two parts, 4 and 26010000, that multiplied together give a square (104040000 = 10200²).

The spelling of 426010000 in words is "four hundred twenty-six million, ten thousand".