426778560 has 168 divisors, whose sum is σ = 1580997600. Its totient is φ = 105043968.

The previous prime is 426778559. The next prime is 426778567. The reversal of 426778560 is 65877624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426778567) 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 23 ways as a sum of consecutive naturals, for example, 31741 + ... + 43139.

It is an arithmetic number, because the mean of its divisors is an integer number (9410700).

Almost surely, 2^426778560 is an apocalyptic number.

426778560 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 426778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790498800).

426778560 is an abundant number, since it is smaller than the sum of its proper divisors (1154219040).

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

426778560 is a wasteful number, since it uses less digits than its factorization.

426778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 426778560 is about 20658.6195085732. The cubic root of 426778560 is about 752.8946271391.

The spelling of 426778560 in words is "four hundred twenty-six million, seven hundred seventy-eight thousand, five hundred sixty".