426146688 has 96 divisors (see below), whose sum is σ = 1337801400. Its totient is φ = 129131520.

The previous prime is 426146681. The next prime is 426146717. The reversal of 426146688 is 886641624.

426146688 is a `hidden beast` number, since 426 + 146 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426146681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4143 + ... + 29486.

Almost surely, 2^426146688 is an apocalyptic number.

426146688 is a gapful number since it is divisible by the number (48) 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 426146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668900700).

426146688 is an abundant number, since it is smaller than the sum of its proper divisors (911654712).

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

426146688 is a wasteful number, since it uses less digits than its factorization.

426146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33645 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 426146688 is about 20643.3206631104. The cubic root of 426146688 is about 752.5228746224.

The spelling of 426146688 in words is "four hundred twenty-six million, one hundred forty-six thousand, six hundred eighty-eight".