426444480 has 448 divisors, whose sum is σ = 1878543360. Its totient is φ = 88473600.

The previous prime is 426444457. The next prime is 426444497. The reversal of 426444480 is 84444624.

426444480 is a `hidden beast` number, since 4 + 2 + 644 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664960 + ... + 665600.

Almost surely, 2^426444480 is an apocalyptic number.

426444480 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 426444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939271680).

426444480 is an abundant number, since it is smaller than the sum of its proper divisors (1452098880).

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

426444480 is a wasteful number, since it uses less digits than its factorization.

426444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 426444480 is about 20650.5321965319. The cubic root of 426444480 is about 752.6981218781.

The spelling of 426444480 in words is "four hundred twenty-six million, four hundred forty-four thousand, four hundred eighty".