480415950 has 288 divisors, whose sum is σ = 1624896000. Its totient is φ = 99221760.

The previous prime is 480415939. The next prime is 480415951. The reversal of 480415950 is 59514084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480415951) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1376376 + ... + 1376724.

It is an arithmetic number, because the mean of its divisors is an integer number (5642000).

Almost surely, 2^480415950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480415950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448000).

480415950 is an abundant number, since it is smaller than the sum of its proper divisors (1144480050).

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

480415950 is a wasteful number, since it uses less digits than its factorization.

480415950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 480415950 is about 21918.3929611639. The cubic root of 480415950 is about 783.1996281025.

The spelling of 480415950 in words is "four hundred eighty million, four hundred fifteen thousand, nine hundred fifty".