426146560 has 144 divisors (see below), whose sum is σ = 1177344000. Its totient is φ = 144764928.

The previous prime is 426146543. The next prime is 426146569. The reversal of 426146560 is 65641624.

It is not an unprimeable number, because it can be changed into a prime (426146569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1782921 + ... + 1783159.

It is an arithmetic number, because the mean of its divisors is an integer number (8176000).

Almost surely, 2^426146560 is an apocalyptic number.

426146560 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 426146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588672000).

426146560 is an abundant number, since it is smaller than the sum of its proper divisors (751197440).

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

426146560 is a wasteful number, since it uses less digits than its factorization.

426146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 426146560 is about 20643.3175628337. The cubic root of 426146560 is about 752.5227992783.

The spelling of 426146560 in words is "four hundred twenty-six million, one hundred forty-six thousand, five hundred sixty".