426684672 has 216 divisors, whose sum is σ = 1346668960. Its totient is φ = 134742528.

The previous prime is 426684647. The next prime is 426684673. The reversal of 426684672 is 276486624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

Its product of digits (774144) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (426684673) 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, 22457079 + ... + 22457097.

Almost surely, 2^426684672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673334480).

426684672 is an abundant number, since it is smaller than the sum of its proper divisors (919984288).

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

426684672 is an frugal number, since it uses more digits than its factorization.

426684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 24 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 426684672 is about 20656.3470149008. The cubic root of 426684672 is about 752.8394127480.

The spelling of 426684672 in words is "four hundred twenty-six million, six hundred eighty-four thousand, six hundred seventy-two".