426829824 has 240 divisors, whose sum is σ = 1331890560. Its totient is φ = 136028160.

The previous prime is 426829807. The next prime is 426829831. The reversal of 426829824 is 428928624.

It is a super-3 number, since 3×426829824³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 426829824.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142487 + ... + 5142569.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2^426829824 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 426829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665945280).

426829824 is an abundant number, since it is smaller than the sum of its proper divisors (905060736).

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

426829824 is an equidigital number, since it uses as much as digits as its factorization.

426829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

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

The square root of 426829824 is about 20659.8602124990. The cubic root of 426829824 is about 752.9247714563.

The spelling of 426829824 in words is "four hundred twenty-six million, eight hundred twenty-nine thousand, eight hundred twenty-four".