426821472 has 288 divisors, whose sum is σ = 1594494720. Its totient is φ = 104924160.

The previous prime is 426821467. The next prime is 426821489. The reversal of 426821472 is 274128624.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420838 + ... + 421850.

It is an arithmetic number, because the mean of its divisors is an integer number (5536440).

Almost surely, 2^426821472 is an apocalyptic number.

426821472 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 426821472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797247360).

426821472 is an abundant number, since it is smaller than the sum of its proper divisors (1167673248).

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

426821472 is a wasteful number, since it uses less digits than its factorization.

426821472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 426821472 is about 20659.6580804233. The cubic root of 426821472 is about 752.9198604681.

The spelling of 426821472 in words is "four hundred twenty-six million, eight hundred twenty-one thousand, four hundred seventy-two".