480427200 has 420 divisors, whose sum is σ = 1932185112. Its totient is φ = 116121600.

The previous prime is 480427177. The next prime is 480427223. The reversal of 480427200 is 2724084.

It is an interprime number because it is at equal distance from previous prime (480427177) and next prime (480427223).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 1425432 + ... + 1425768.

Almost surely, 2^480427200 is an apocalyptic number.

480427200 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 480427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966092556).

480427200 is an abundant number, since it is smaller than the sum of its proper divisors (1451757912).

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

480427200 is a wasteful number, since it uses less digits than its factorization.

480427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 480427200 is about 21918.6495934398. The cubic root of 480427200 is about 783.2057415042.

The spelling of 480427200 in words is "four hundred eighty million, four hundred twenty-seven thousand, two hundred".