426847680 has 336 divisors, whose sum is σ = 1734580224. Its totient is φ = 94279680.

The previous prime is 426847667. The next prime is 426847691. The reversal of 426847680 is 86748624.

426847680 is a `hidden beast` number, since 42 + 68 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×426847680³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 624619 + ... + 625301.

Almost surely, 2^426847680 is an apocalyptic number.

426847680 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 426847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867290112).

426847680 is an abundant number, since it is smaller than the sum of its proper divisors (1307732544).

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

426847680 is a wasteful number, since it uses less digits than its factorization.

426847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 426847680 is about 20660.2923503033. The cubic root of 426847680 is about 752.9352705955.

The spelling of 426847680 in words is "four hundred twenty-six million, eight hundred forty-seven thousand, six hundred eighty".