4629300480 has 648 divisors, whose sum is σ = 19084010400. Its totient is φ = 1032708096.

The previous prime is 4629300457. The next prime is 4629300491. The reversal of 4629300480 is 840039264.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 33304251 + ... + 33304389.

Almost surely, 2^4629300480 is an apocalyptic number.

4629300480 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 4629300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9542005200).

4629300480 is an abundant number, since it is smaller than the sum of its proper divisors (14454709920).

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

4629300480 is a wasteful number, since it uses less digits than its factorization.

4629300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4629300480 is about 68038.9629550598. The cubic root of 4629300480 is about 1666.6271677750.

The spelling of 4629300480 in words is "four billion, six hundred twenty-nine million, three hundred thousand, four hundred eighty".