426461112 has 432 divisors, whose sum is σ = 1572905880. Its totient is φ = 107775360.

The previous prime is 426461107. The next prime is 426461227. The reversal of 426461112 is 211164624.

426461112 is a `hidden beast` number, since 4 + 2 + 646 + 1 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11525958 + ... + 11525994.

Almost surely, 2^426461112 is an apocalyptic number.

426461112 is a gapful number since it is divisible by the number (42) 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 426461112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786452940).

426461112 is an abundant number, since it is smaller than the sum of its proper divisors (1146444768).

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

426461112 is a wasteful number, since it uses less digits than its factorization.

426461112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 426461112 is about 20650.9348940914. The cubic root of 426461112 is about 752.7079072179.

The spelling of 426461112 in words is "four hundred twenty-six million, four hundred sixty-one thousand, one hundred twelve".