426821760 has 96 divisors (see below), whose sum is σ = 1473888780. Its totient is φ = 113817600.

The previous prime is 426821743. The next prime is 426821761. The reversal of 426821760 is 67128624.

It can be written as a sum of positive squares in 2 ways, for example, as 423042624 + 3779136 = 20568^2 + 1944^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (426821761) 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, 31291 + ... + 42810.

Almost surely, 2^426821760 is an apocalyptic number.

426821760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426821760 is an abundant number, since it is smaller than the sum of its proper divisors (1047067020).

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

426821760 is a wasteful number, since it uses less digits than its factorization.

426821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74126 (or 74111 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 426821760 is about 20659.6650505278. The cubic root of 426821760 is about 752.9200298136.

The spelling of 426821760 in words is "four hundred twenty-six million, eight hundred twenty-one thousand, seven hundred sixty".