426421520 has 120 divisors (see below), whose sum is σ = 1161597528. Its totient is φ = 145152000.

The previous prime is 426421477. The next prime is 426421531. The reversal of 426421520 is 25124624.

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 414366736 = 3472^2 + 20356^2 .

It is a super-2 number, since 2×426421520² = 363670625438220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426421520.

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 23 ways as a sum of consecutive naturals, for example, 709220 + ... + 709820.

Almost surely, 2^426421520 is an apocalyptic number.

426421520 is a gapful number since it is divisible by the number (40) 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 426421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580798764).

426421520 is an abundant number, since it is smaller than the sum of its proper divisors (735176008).

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

426421520 is a wasteful number, since it uses less digits than its factorization.

426421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 426421520 is about 20649.9762711728. The cubic root of 426421520 is about 752.6846130785.

The spelling of 426421520 in words is "four hundred twenty-six million, four hundred twenty-one thousand, five hundred twenty".