426938850 has 336 divisors, whose sum is σ = 1383239592. Its totient is φ = 97044480.

The previous prime is 426938801. The next prime is 426938887. The reversal of 426938850 is 58839624.

426938850 is a `hidden beast` number, since 4 + 269 + 388 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 41641209 + 385297641 = 6453^2 + 19629^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 426938796 and 426938805.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8055424 + ... + 8055476.

Almost surely, 2^426938850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426938850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691619796).

426938850 is an abundant number, since it is smaller than the sum of its proper divisors (956300742).

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

426938850 is a wasteful number, since it uses less digits than its factorization.

426938850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 426938850 is about 20662.4986388384. The cubic root of 426938850 is about 752.9888730281.

The spelling of 426938850 in words is "four hundred twenty-six million, nine hundred thirty-eight thousand, eight hundred fifty".