422580480 has 288 divisors, whose sum is σ = 1569792000. Its totient is φ = 94887936.

The previous prime is 422580419. The next prime is 422580491. The reversal of 422580480 is 84085224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2123421 + ... + 2123619.

Almost surely, 2^422580480 is an apocalyptic number.

422580480 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 422580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784896000).

422580480 is an abundant number, since it is smaller than the sum of its proper divisors (1147211520).

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

422580480 is a wasteful number, since it uses less digits than its factorization.

422580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 422580480 is about 20556.7623909992. The cubic root of 422580480 is about 750.4178294038.

The spelling of 422580480 in words is "four hundred twenty-two million, five hundred eighty thousand, four hundred eighty".