426637440 has 192 divisors, whose sum is σ = 1560251160. Its totient is φ = 107053056.

The previous prime is 426637429. The next prime is 426637447. The reversal of 426637440 is 44736624.

It can be written as a sum of positive squares in 4 ways, for example, as 425019456 + 1617984 = 20616^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426637395 and 426637404.

It is not an unprimeable number, because it can be changed into a prime (426637447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95742 + ... + 100098.

Almost surely, 2^426637440 is an apocalyptic number.

426637440 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 426637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780125580).

426637440 is an abundant number, since it is smaller than the sum of its proper divisors (1133613720).

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

426637440 is a wasteful number, since it uses less digits than its factorization.

426637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 426637440 is about 20655.2037026992. The cubic root of 426637440 is about 752.8116331209.

The spelling of 426637440 in words is "four hundred twenty-six million, six hundred thirty-seven thousand, four hundred forty".