424673280 has 210 divisors, whose sum is σ = 1522531626. Its totient is φ = 113246208.

The previous prime is 424673273. The next prime is 424673317. The reversal of 424673280 is 82376424.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (2!)¹⁰.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 84934656 = 18432^2 + 9216^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 960 × 576 × 768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84934654 + ... + 84934658.

Almost surely, 2^424673280 is an apocalyptic number.

424673280 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 424673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761265813).

424673280 is an abundant number, since it is smaller than the sum of its proper divisors (1097858346).

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

424673280 is an frugal number, since it uses more digits than its factorization.

424673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 424673280 is about 20607.6024806381. The cubic root of 424673280 is about 751.6545871044.

The spelling of 424673280 in words is "four hundred twenty-four million, six hundred seventy-three thousand, two hundred eighty".